%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG080+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:46 PM UTC 2026
% Result : Theorem 5.66s 2.42s
% Output : CNFRefutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 59
% Syntax : Number of formulae : 1834 ( 250 unt; 5 def)
% Number of atoms : 14685 ( 929 equ)
% Maximal formula atoms : 16 ( 8 avg)
% Number of connectives : 13777 (6144 ~;7455 |; 127 &)
% ( 3 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 2479 ( 0 sgn2473 !; 6 ?;2173 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f4,axiom,
! [X0] :
( ( X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(f58,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2733) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f66,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(flattening,[],[f60]) ).
fof(f67,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f68,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f69,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f78,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f28]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f109,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f122,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f123,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(sK0(X0)) = X0
& aNaturalNumber0(sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f69]) ).
fof(f124,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f125,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f126]) ).
fof(f128,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f130,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f131,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(sK0(X0)) = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f132,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f134,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f139,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f141,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f142,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f143,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f144,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f78]) ).
fof(f145,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f146,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f157,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f91]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f165,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f167,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f169,plain,
! [X3,X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aNaturalNumber0(sK1(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f175,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(cnf_transformation,[],[f117]) ).
fof(f178,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f179,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f180,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(cnf_transformation,[],[f120]) ).
fof(f182,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f183,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f184,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f121]) ).
fof(f185,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f186,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f121]) ).
fof(f187,plain,
aVector0(xp),
inference(cnf_transformation,[],[f121]) ).
fof(f188,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f122]) ).
fof(f189,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f190,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
inference(cnf_transformation,[],[f122]) ).
fof(f191,plain,
aVector0(xq),
inference(cnf_transformation,[],[f122]) ).
fof(f192,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f193,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f194,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f195,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f196,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f197,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f198,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f199,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f200,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f201,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f202,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f203,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f204,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f205,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f206,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f207,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f208,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f209,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f210,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f211,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f212,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f213,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f214,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f215,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f216,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f217,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f57]) ).
fof(f218,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f58]) ).
fof(f219,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f66]) ).
fof(f220,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f171]) ).
fof(f221,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f170]) ).
fof(f222,plain,
! [X3,X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3) ),
inference(equality_resolution,[],[f169]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f128]) ).
tcf(c_50,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_52,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK0(X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_55,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f135]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_59,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,X0) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_78,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sdtasdt0(X1,X1) ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_88,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X1,X0))
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( ( sziznziztdt0(X0) = X1 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X1)) != aDimensionOf0(X0) )
| ( sdtlbdtrb0(X0,sK1(X0,X1)) != sdtlbdtrb0(X1,sK1(X0,X1)) ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X1,X0))
| ( sziznziztdt0(X1) = X0 )
| ( aDimensionOf0(X1) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_92,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_93,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),X0) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X0,X1) )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_100,plain,
aVector0(xs),
inference(cnf_transformation,[],[f180]) ).
tcf(c_101,plain,
aVector0(xt),
inference(cnf_transformation,[],[f179]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_103,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f182]) ).
tcf(c_104,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f183]) ).
tcf(c_105,plain,
aVector0(xp),
inference(cnf_transformation,[],[f187]) ).
tcf(c_106,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(cnf_transformation,[],[f186]) ).
tcf(c_107,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_108,plain,
sziznziztdt0(xs) = xp,
inference(cnf_transformation,[],[f184]) ).
tcf(c_109,plain,
aVector0(xq),
inference(cnf_transformation,[],[f191]) ).
tcf(c_110,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f190]) ).
tcf(c_111,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_112,plain,
sziznziztdt0(xt) = xq,
inference(cnf_transformation,[],[f188]) ).
tcf(c_113,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f193]) ).
tcf(c_114,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(cnf_transformation,[],[f192]) ).
tcf(c_115,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f195]) ).
tcf(c_116,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(cnf_transformation,[],[f194]) ).
tcf(c_117,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f197]) ).
tcf(c_118,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f196]) ).
tcf(c_119,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f199]) ).
tcf(c_120,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f198]) ).
tcf(c_121,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f201]) ).
tcf(c_122,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f200]) ).
tcf(c_123,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f203]) ).
tcf(c_124,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f202]) ).
tcf(c_125,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f205]) ).
tcf(c_126,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f204]) ).
tcf(c_127,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f207]) ).
tcf(c_128,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f206]) ).
tcf(c_129,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f209]) ).
tcf(c_130,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f208]) ).
tcf(c_131,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f211]) ).
tcf(c_132,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f210]) ).
tcf(c_133,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f213]) ).
tcf(c_134,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f212]) ).
tcf(c_135,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f215]) ).
tcf(c_136,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f214]) ).
tcf(c_137,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f216]) ).
tcf(c_138,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f217]) ).
tcf(c_139,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f218]) ).
tcf(c_140,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f219]) ).
tcf(c_148,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_189,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_67,c_56,c_148]) ).
tcf(c_653,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_116,c_103]) ).
tcf(c_654,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(light_normalisation,[status(thm)],[c_110,c_103]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| ~ aVector0(X2)
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0)
| ( aDimensionOf0(X1) != X0 )
| ( aDimensionOf0(X1) != aDimensionOf0(X2) )
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_102]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ~ aNaturalNumber0(aDimensionOf0(X0))
| ( aDimensionOf0(X0) != aDimensionOf0(X1) )
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) ) ),
inference(unflattening,[status(thm)],[c_1021]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_1022,c_88,c_1022]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) )
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) ) ),
inference(renaming,[status(thm)],[c_1024]) ).
tcf(c_1866,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_71]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_71]) ).
tcf(c_1868,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_71]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_69]) ).
tcf(c_1870,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
tcf(c_1871,definition,
iPr_def_13 = sdtasasdt0(xs,xt),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1872,definition,
iPr_def_14 = sdtasdt0(iPr_def_13,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1873,definition,
iPr_def_15 = sdtasasdt0(xs,xs),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1874,definition,
iPr_def_16 = sdtasasdt0(xt,xt),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1875,definition,
iPr_def_17 = sdtasdt0(iPr_def_15,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1876,negated_conjecture,
~ sdtlseqdt0(iPr_def_14,iPr_def_17),
inference(demodulation,[status(thm)],[c_140,c_1874,c_1873,c_1875,c_1871,c_1872]) ).
tcf(c_1902,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1866]) ).
tcf(c_2969,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_1868,c_56,c_1902,c_1868]) ).
tcf(c_2971,plain,
iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1870,c_56,c_1902,c_1870]) ).
tcf(c_2988,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_103,c_88]) ).
tcf(c_2989,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(forward_subsumption_resolution,[status(thm)],[c_2988,c_101]) ).
tcf(c_2990,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1866,c_56,c_1902]) ).
tcf(c_2998,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_124,c_86]) ).
tcf(c_2999,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_126,c_86]) ).
tcf(c_3000,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_1872,c_86]) ).
tcf(c_3003,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2999,c_115]) ).
tcf(c_3004,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2998,c_113]) ).
tcf(c_3013,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_118,c_99]) ).
tcf(c_3014,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_120,c_99]) ).
tcf(c_3015,plain,
( sdtlseqdt0(sz0z00,iPr_def_15)
| ~ aVector0(xs) ),
inference(superposition,[status(thm)],[c_1873,c_99]) ).
tcf(c_3016,plain,
( sdtlseqdt0(sz0z00,iPr_def_16)
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_1874,c_99]) ).
tcf(c_3017,plain,
sdtlseqdt0(sz0z00,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_3016,c_101]) ).
tcf(c_3018,plain,
sdtlseqdt0(sz0z00,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_3015,c_100]) ).
tcf(c_3019,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_3014,c_109]) ).
tcf(c_3020,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_3013,c_105]) ).
tcf(c_3031,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_60]) ).
tcf(c_3032,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz0z00) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
tcf(c_3033,plain,
sdtpldt0(xA,sz0z00) = xA,
inference(superposition,[status(thm)],[c_113,c_60]) ).
tcf(c_3034,plain,
sdtpldt0(xB,sz0z00) = xB,
inference(superposition,[status(thm)],[c_115,c_60]) ).
tcf(c_3035,plain,
sdtpldt0(xC,sz0z00) = xC,
inference(superposition,[status(thm)],[c_117,c_60]) ).
tcf(c_3036,plain,
sdtpldt0(xD,sz0z00) = xD,
inference(superposition,[status(thm)],[c_119,c_60]) ).
tcf(c_3037,plain,
sdtpldt0(xE,sz0z00) = xE,
inference(superposition,[status(thm)],[c_121,c_60]) ).
tcf(c_3038,plain,
sdtpldt0(xF,sz0z00) = xF,
inference(superposition,[status(thm)],[c_123,c_60]) ).
tcf(c_3039,plain,
sdtpldt0(xG,sz0z00) = xG,
inference(superposition,[status(thm)],[c_125,c_60]) ).
tcf(c_3040,plain,
sdtpldt0(xH,sz0z00) = xH,
inference(superposition,[status(thm)],[c_127,c_60]) ).
tcf(c_3041,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(superposition,[status(thm)],[c_129,c_60]) ).
tcf(c_3042,plain,
sdtpldt0(xP,sz0z00) = xP,
inference(superposition,[status(thm)],[c_131,c_60]) ).
tcf(c_3043,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(superposition,[status(thm)],[c_133,c_60]) ).
tcf(c_3044,plain,
sdtpldt0(xN,sz0z00) = xN,
inference(superposition,[status(thm)],[c_135,c_60]) ).
tcf(c_3053,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(X0)) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_61]) ).
tcf(c_3054,plain,
sdtpldt0(sz0z00,xA) = xA,
inference(superposition,[status(thm)],[c_113,c_61]) ).
tcf(c_3055,plain,
sdtpldt0(sz0z00,xB) = xB,
inference(superposition,[status(thm)],[c_115,c_61]) ).
tcf(c_3056,plain,
sdtpldt0(sz0z00,xC) = xC,
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_3057,plain,
sdtpldt0(sz0z00,xD) = xD,
inference(superposition,[status(thm)],[c_119,c_61]) ).
tcf(c_3058,plain,
sdtpldt0(sz0z00,xE) = xE,
inference(superposition,[status(thm)],[c_121,c_61]) ).
tcf(c_3059,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(superposition,[status(thm)],[c_123,c_61]) ).
tcf(c_3060,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(superposition,[status(thm)],[c_125,c_61]) ).
tcf(c_3061,plain,
sdtpldt0(sz0z00,xH) = xH,
inference(superposition,[status(thm)],[c_127,c_61]) ).
tcf(c_3062,plain,
sdtpldt0(sz0z00,xR) = xR,
inference(superposition,[status(thm)],[c_129,c_61]) ).
tcf(c_3063,plain,
sdtpldt0(sz0z00,xP) = xP,
inference(superposition,[status(thm)],[c_131,c_61]) ).
tcf(c_3064,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(superposition,[status(thm)],[c_133,c_61]) ).
tcf(c_3065,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_135,c_61]) ).
tcf(c_3073,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_3074,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_62]) ).
tcf(c_3075,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_3076,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_62]) ).
tcf(c_3077,plain,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_62]) ).
tcf(c_3078,plain,
sdtasdt0(xD,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_62]) ).
tcf(c_3079,plain,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_62]) ).
tcf(c_3080,plain,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_62]) ).
tcf(c_3081,plain,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_62]) ).
tcf(c_3082,plain,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_62]) ).
tcf(c_3083,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_62]) ).
tcf(c_3084,plain,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_62]) ).
tcf(c_3085,plain,
sdtasdt0(xS,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_62]) ).
tcf(c_3086,plain,
sdtasdt0(xN,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_62]) ).
tcf(c_3090,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3073,c_86]) ).
tcf(c_3091,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3090,c_56]) ).
tcf(c_3097,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_63]) ).
tcf(c_3098,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_3099,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_63]) ).
tcf(c_3100,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_63]) ).
tcf(c_3101,plain,
sdtasdt0(sz0z00,xD) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_63]) ).
tcf(c_3102,plain,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_63]) ).
tcf(c_3103,plain,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_63]) ).
tcf(c_3104,plain,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_63]) ).
tcf(c_3105,plain,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_63]) ).
tcf(c_3106,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_63]) ).
tcf(c_3107,plain,
sdtasdt0(sz0z00,xP) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_63]) ).
tcf(c_3108,plain,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_63]) ).
tcf(c_3109,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_63]) ).
tcf(c_3117,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_3118,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(X0))) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_66]) ).
tcf(c_3119,plain,
smndt0(smndt0(xA)) = xA,
inference(superposition,[status(thm)],[c_113,c_66]) ).
tcf(c_3120,plain,
smndt0(smndt0(xB)) = xB,
inference(superposition,[status(thm)],[c_115,c_66]) ).
tcf(c_3121,plain,
smndt0(smndt0(xC)) = xC,
inference(superposition,[status(thm)],[c_117,c_66]) ).
tcf(c_3122,plain,
smndt0(smndt0(xD)) = xD,
inference(superposition,[status(thm)],[c_119,c_66]) ).
tcf(c_3123,plain,
smndt0(smndt0(xE)) = xE,
inference(superposition,[status(thm)],[c_121,c_66]) ).
tcf(c_3124,plain,
smndt0(smndt0(xF)) = xF,
inference(superposition,[status(thm)],[c_123,c_66]) ).
tcf(c_3125,plain,
smndt0(smndt0(xG)) = xG,
inference(superposition,[status(thm)],[c_125,c_66]) ).
tcf(c_3126,plain,
smndt0(smndt0(xH)) = xH,
inference(superposition,[status(thm)],[c_127,c_66]) ).
tcf(c_3127,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_129,c_66]) ).
tcf(c_3128,plain,
smndt0(smndt0(xP)) = xP,
inference(superposition,[status(thm)],[c_131,c_66]) ).
tcf(c_3129,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_133,c_66]) ).
tcf(c_3130,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_135,c_66]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_66]) ).
tcf(c_3158,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_63]) ).
tcf(c_3159,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_62]) ).
tcf(c_3160,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_61]) ).
tcf(c_3161,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
tcf(c_3207,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_1872,c_58]) ).
tcf(c_3208,plain,
( aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15) ),
inference(superposition,[status(thm)],[c_1875,c_58]) ).
tcf(c_3210,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_66]) ).
tcf(c_3211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_63]) ).
tcf(c_3212,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_62]) ).
tcf(c_3213,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_61]) ).
tcf(c_3214,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
tcf(c_3246,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_3247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_3248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_64]) ).
tcf(c_3249,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_64]) ).
tcf(c_3250,plain,
sdtpldt0(xA,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_3251,plain,
sdtpldt0(xB,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_64]) ).
tcf(c_3252,plain,
sdtpldt0(xC,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_64]) ).
tcf(c_3253,plain,
sdtpldt0(xD,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_64]) ).
tcf(c_3254,plain,
sdtpldt0(xE,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_64]) ).
tcf(c_3255,plain,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_64]) ).
tcf(c_3256,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_64]) ).
tcf(c_3257,plain,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_64]) ).
tcf(c_3258,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_64]) ).
tcf(c_3259,plain,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_64]) ).
tcf(c_3260,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_64]) ).
tcf(c_3261,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_64]) ).
tcf(c_3276,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_14,iPr_def_17)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3290,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_3291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_3292,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_65]) ).
tcf(c_3293,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_65]) ).
tcf(c_3294,plain,
sdtpldt0(smndt0(xA),xA) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_65]) ).
tcf(c_3295,plain,
sdtpldt0(smndt0(xB),xB) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_65]) ).
tcf(c_3296,plain,
sdtpldt0(smndt0(xC),xC) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_65]) ).
tcf(c_3297,plain,
sdtpldt0(smndt0(xD),xD) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_3298,plain,
sdtpldt0(smndt0(xE),xE) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_65]) ).
tcf(c_3299,plain,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_65]) ).
tcf(c_3300,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_65]) ).
tcf(c_3301,plain,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_65]) ).
tcf(c_3302,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_65]) ).
tcf(c_3303,plain,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_65]) ).
tcf(c_3304,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_65]) ).
tcf(c_3305,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_65]) ).
tcf(c_3349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X1,X0)),sdtlbdtrb0(X1,X0)) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_65]) ).
tcf(c_3350,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X1,X0),smndt0(sdtlbdtrb0(X1,X0))) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_3351,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(X1,X0))) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_3352,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_63]) ).
tcf(c_3353,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_62]) ).
tcf(c_3354,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_61]) ).
tcf(c_3355,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_60]) ).
tcf(c_3420,plain,
sdtlbdtrb0(xs,sz00) = sdtlbdtrb0(xp,sz00),
inference(superposition,[status(thm)],[c_49,c_107]) ).
tcf(c_3421,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,szszuzczcdt0(X0)) = sdtlbdtrb0(xp,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_107]) ).
tcf(c_3422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xs,sK0(X0)) = sdtlbdtrb0(xp,sK0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_107]) ).
tcf(c_3423,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,aDimensionOf0(X0)) = sdtlbdtrb0(xp,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_107]) ).
tcf(c_3424,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = sdtlbdtrb0(xp,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2989,c_107]) ).
tcf(c_3425,plain,
sdtlbdtrb0(xp,aDimensionOf0(xs)) = xA,
inference(light_normalisation,[status(thm)],[c_3424,c_114]) ).
tcf(c_3441,plain,
sdtlbdtrb0(xt,sz00) = sdtlbdtrb0(xq,sz00),
inference(superposition,[status(thm)],[c_49,c_111]) ).
tcf(c_3442,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,szszuzczcdt0(X0)) = sdtlbdtrb0(xq,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
tcf(c_3443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xt,sK0(X0)) = sdtlbdtrb0(xq,sK0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_111]) ).
tcf(c_3444,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,aDimensionOf0(X0)) = sdtlbdtrb0(xq,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_111]) ).
tcf(c_3445,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = sdtlbdtrb0(xq,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2989,c_111]) ).
tcf(c_3446,plain,
sdtlbdtrb0(xq,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_3445,c_653]) ).
tcf(c_3470,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_83,c_1876]) ).
tcf(c_3502,plain,
! [X0: $i] :
( ( szszuzczcdt0(X0) = sz00 )
| ( szszuzczcdt0(sK0(szszuzczcdt0(X0))) = szszuzczcdt0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_3503,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK0(X0) = sz00 )
| ( szszuzczcdt0(sK0(sK0(X0))) = sK0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_3504,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_53]) ).
tcf(c_3505,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_2989,c_53]) ).
tcf(c_3506,plain,
szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3505,c_104]) ).
tcf(c_3531,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_3532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_75]) ).
tcf(c_3533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_75]) ).
tcf(c_3534,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_75]) ).
tcf(c_3535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtlbdtrb0(X2,X0),smndt0(X1)) = smndt0(sdtasdt0(sdtlbdtrb0(X2,X0),X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_75]) ).
tcf(c_3536,plain,
! [X0: $i] :
( ( sdtasdt0(xA,smndt0(X0)) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_75]) ).
tcf(c_3537,plain,
! [X0: $i] :
( ( sdtasdt0(xB,smndt0(X0)) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_75]) ).
tcf(c_3538,plain,
! [X0: $i] :
( ( sdtasdt0(xC,smndt0(X0)) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_75]) ).
tcf(c_3539,plain,
! [X0: $i] :
( ( sdtasdt0(xD,smndt0(X0)) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_75]) ).
tcf(c_3540,plain,
! [X0: $i] :
( ( sdtasdt0(xE,smndt0(X0)) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_75]) ).
tcf(c_3541,plain,
! [X0: $i] :
( ( sdtasdt0(xF,smndt0(X0)) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_75]) ).
tcf(c_3542,plain,
! [X0: $i] :
( ( sdtasdt0(xG,smndt0(X0)) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_75]) ).
tcf(c_3543,plain,
! [X0: $i] :
( ( sdtasdt0(xH,smndt0(X0)) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_75]) ).
tcf(c_3544,plain,
! [X0: $i] :
( ( sdtasdt0(xR,smndt0(X0)) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_75]) ).
tcf(c_3545,plain,
! [X0: $i] :
( ( sdtasdt0(xP,smndt0(X0)) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_75]) ).
tcf(c_3546,plain,
! [X0: $i] :
( ( sdtasdt0(xS,smndt0(X0)) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_75]) ).
tcf(c_3547,plain,
! [X0: $i] :
( ( sdtasdt0(xN,smndt0(X0)) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_75]) ).
tcf(c_3628,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),X0) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_3629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),X2) = smndt0(sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_76]) ).
tcf(c_3630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),X2) = smndt0(sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_76]) ).
tcf(c_3631,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),X1) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_76]) ).
tcf(c_3632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X2,X0)),X1) = smndt0(sdtasdt0(sdtlbdtrb0(X2,X0),X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_76]) ).
tcf(c_3633,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),X0) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_76]) ).
tcf(c_3634,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),X0) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_76]) ).
tcf(c_3635,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),X0) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_76]) ).
tcf(c_3636,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),X0) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_76]) ).
tcf(c_3637,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),X0) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_76]) ).
tcf(c_3638,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),X0) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_76]) ).
tcf(c_3639,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),X0) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_76]) ).
tcf(c_3640,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),X0) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_76]) ).
tcf(c_3641,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),X0) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_76]) ).
tcf(c_3642,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),X0) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_76]) ).
tcf(c_3643,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),X0) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_76]) ).
tcf(c_3644,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_76]) ).
tcf(c_3669,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3628,c_189]) ).
tcf(c_3737,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aVector0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3420,c_89]) ).
tcf(c_3738,plain,
aScalar0(sdtlbdtrb0(xs,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3737,c_105,c_49]) ).
tcf(c_3745,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_3746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_77]) ).
tcf(c_3747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_77]) ).
tcf(c_3748,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),smndt0(X1)) = sdtasdt0(smndt0(X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_77]) ).
tcf(c_3749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X2,X0)),smndt0(X1)) = sdtasdt0(sdtlbdtrb0(X2,X0),X1) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_77]) ).
tcf(c_3750,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(X0)) = sdtasdt0(xA,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_77]) ).
tcf(c_3751,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(X0)) = sdtasdt0(xB,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_77]) ).
tcf(c_3752,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(X0)) = sdtasdt0(xC,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_77]) ).
tcf(c_3753,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(X0)) = sdtasdt0(xD,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_77]) ).
tcf(c_3754,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(X0)) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_77]) ).
tcf(c_3755,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),smndt0(X0)) = sdtasdt0(xF,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_77]) ).
tcf(c_3756,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),smndt0(X0)) = sdtasdt0(xG,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_77]) ).
tcf(c_3757,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),smndt0(X0)) = sdtasdt0(xH,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_77]) ).
tcf(c_3758,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),smndt0(X0)) = sdtasdt0(xR,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_77]) ).
tcf(c_3759,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),smndt0(X0)) = sdtasdt0(xP,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_77]) ).
tcf(c_3760,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_77]) ).
tcf(c_3761,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_77]) ).
tcf(c_3786,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3745,c_189]) ).
tcf(c_3849,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sziznziztdt0(X0)))) = aDimensionOf0(sziznziztdt0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_93]) ).
tcf(c_3850,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_100,c_93]) ).
tcf(c_3851,plain,
( ( aDimensionOf0(xt) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) ) ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
tcf(c_3852,plain,
( ( aDimensionOf0(xp) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) = aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_105,c_93]) ).
tcf(c_3853,plain,
( ( aDimensionOf0(xq) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) = aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_109,c_93]) ).
tcf(c_3875,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_106,c_54]) ).
tcf(c_3876,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_654,c_54]) ).
tcf(c_3898,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_3899,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_3900,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_96]) ).
tcf(c_3903,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3899,c_101]) ).
tcf(c_3907,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3898,c_101]) ).
tcf(c_3920,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_77]) ).
tcf(c_3921,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_76]) ).
tcf(c_3922,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_75]) ).
tcf(c_3923,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_3738,c_65]) ).
tcf(c_3924,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_3738,c_64]) ).
tcf(c_3925,plain,
smndt0(smndt0(sdtlbdtrb0(xs,sz00))) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_3738,c_66]) ).
tcf(c_3926,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_3738,c_63]) ).
tcf(c_3927,plain,
sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3738,c_62]) ).
tcf(c_3928,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_3738,c_61]) ).
tcf(c_3929,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),sz0z00) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_3738,c_60]) ).
tcf(c_3976,plain,
! [X0: $i] :
( ( sdtasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_3977,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(superposition,[status(thm)],[c_99,c_79]) ).
tcf(c_3978,plain,
( ( sdtasdt0(xC,xD) = sdtasdt0(xE,xE) )
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
inference(superposition,[status(thm)],[c_137,c_79]) ).
tcf(c_3979,plain,
( ( sdtpldt0(xR,xS) = sdtpldt0(xP,xP) )
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_138,c_79]) ).
tcf(c_3980,plain,
( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))) ),
inference(superposition,[status(thm)],[c_139,c_79]) ).
tcf(c_3982,plain,
( ( sz0z00 = xF )
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(superposition,[status(thm)],[c_3004,c_79]) ).
tcf(c_3983,plain,
( ( sz0z00 = xG )
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(superposition,[status(thm)],[c_3003,c_79]) ).
tcf(c_3984,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_3000,c_79]) ).
tcf(c_3985,plain,
( ( sz0z00 = xC )
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(superposition,[status(thm)],[c_3020,c_79]) ).
tcf(c_3986,plain,
( ( sz0z00 = xD )
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(superposition,[status(thm)],[c_3019,c_79]) ).
tcf(c_3987,plain,
( ( sz0z00 = iPr_def_15 )
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_15,sz0z00) ),
inference(superposition,[status(thm)],[c_3018,c_79]) ).
tcf(c_3988,plain,
( ( sz0z00 = iPr_def_16 )
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_16,sz0z00) ),
inference(superposition,[status(thm)],[c_3017,c_79]) ).
tcf(c_3990,plain,
( ( sz0z00 = iPr_def_16 )
| ~ aScalar0(iPr_def_16)
| ~ sdtlseqdt0(iPr_def_16,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3988,c_56]) ).
tcf(c_3994,plain,
( ( sz0z00 = iPr_def_15 )
| ~ aScalar0(iPr_def_15)
| ~ sdtlseqdt0(iPr_def_15,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3987,c_56]) ).
tcf(c_3998,plain,
( ( sz0z00 = xD )
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3986,c_119,c_56]) ).
tcf(c_4001,plain,
( ( sz0z00 = xC )
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3985,c_117,c_56]) ).
tcf(c_4004,plain,
( ( sz0z00 = xG )
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3983,c_125,c_56]) ).
tcf(c_4007,plain,
( ( sz0z00 = xF )
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3982,c_123,c_56]) ).
tcf(c_4010,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3984,c_56]) ).
tcf(c_4015,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3977,c_56]) ).
tcf(c_4020,plain,
! [X0: $i] :
( ( sdtasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3976,c_56]) ).
tcf(c_4093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz0z00) ),
inference(superposition,[status(thm)],[c_84,c_79]) ).
tcf(c_4094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4093,c_56]) ).
tcf(c_4114,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_128,c_85]) ).
tcf(c_4115,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_130,c_85]) ).
tcf(c_4116,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_132,c_85]) ).
tcf(c_4117,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_134,c_85]) ).
tcf(c_4118,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_136,c_85]) ).
tcf(c_4121,plain,
( sdtlseqdt0(sz0z00,iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ sdtlseqdt0(sz0z00,iPr_def_16)
| ~ sdtlseqdt0(sz0z00,iPr_def_15) ),
inference(superposition,[status(thm)],[c_1875,c_85]) ).
tcf(c_4146,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz0z00) ),
inference(superposition,[status(thm)],[c_85,c_79]) ).
tcf(c_4147,plain,
( sdtlseqdt0(sz0z00,iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4121,c_3017,c_3018]) ).
tcf(c_4151,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4118,c_133,c_129]) ).
tcf(c_4155,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_4117,c_123,c_119,c_3004,c_3019]) ).
tcf(c_4156,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4151,c_4155]) ).
tcf(c_4159,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4116,c_127,c_121]) ).
tcf(c_4163,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_4115,c_125,c_117,c_3003,c_3020]) ).
tcf(c_4164,plain,
sdtlseqdt0(sz0z00,xN),
inference(backward_subsumption_resolution,[status(thm)],[c_4156,c_4163]) ).
tcf(c_4165,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4114,c_115,c_113]) ).
tcf(c_4169,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4146,c_56]) ).
tcf(c_4190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_80]) ).
tcf(c_4192,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_84,c_80]) ).
tcf(c_4193,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_85,c_80]) ).
tcf(c_4194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_80]) ).
tcf(c_4195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_99,c_80]) ).
tcf(c_4196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xC,xD),X0) ),
inference(superposition,[status(thm)],[c_137,c_80]) ).
tcf(c_4197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),X0) ),
inference(superposition,[status(thm)],[c_138,c_80]) ).
tcf(c_4198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),X0) ),
inference(superposition,[status(thm)],[c_139,c_80]) ).
tcf(c_4200,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_3004,c_80]) ).
tcf(c_4201,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_3003,c_80]) ).
tcf(c_4202,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_3000,c_80]) ).
tcf(c_4203,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_3020,c_80]) ).
tcf(c_4204,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_3019,c_80]) ).
tcf(c_4205,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3018,c_80]) ).
tcf(c_4206,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_3017,c_80]) ).
tcf(c_4207,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_3470,c_80]) ).
tcf(c_4213,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4206,c_56]) ).
tcf(c_4218,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4205,c_56]) ).
tcf(c_4223,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4204,c_119,c_56]) ).
tcf(c_4227,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4203,c_117,c_56]) ).
tcf(c_4231,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4201,c_125,c_56]) ).
tcf(c_4235,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4200,c_123,c_56]) ).
tcf(c_4239,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4202,c_56]) ).
tcf(c_4251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aVector0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4195,c_56]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4194,c_56]) ).
tcf(c_4273,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4193,c_56]) ).
tcf(c_4282,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4192,c_56]) ).
tcf(c_4320,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_4155,c_80]) ).
tcf(c_4321,plain,
( ( sz0z00 = xS )
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(superposition,[status(thm)],[c_4155,c_79]) ).
tcf(c_4322,plain,
( ( sz0z00 = xS )
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4321,c_133,c_56]) ).
tcf(c_4325,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4320,c_133,c_56]) ).
tcf(c_4329,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_4163,c_80]) ).
tcf(c_4330,plain,
( ( sz0z00 = xR )
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(superposition,[status(thm)],[c_4163,c_79]) ).
tcf(c_4331,plain,
( ( sz0z00 = xR )
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4330,c_129,c_56]) ).
tcf(c_4334,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4329,c_129,c_56]) ).
tcf(c_4350,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_4164,c_80]) ).
tcf(c_4351,plain,
( ( sz0z00 = xN )
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_4164,c_79]) ).
tcf(c_4352,plain,
( ( sz0z00 = xN )
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4351,c_135,c_56]) ).
tcf(c_4355,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4350,c_135,c_56]) ).
tcf(c_4372,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4207]) ).
tcf(c_4390,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4372,c_80]) ).
tcf(c_4391,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4372,c_79]) ).
tcf(c_4392,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4372,c_80]) ).
tcf(c_4393,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4372,c_79]) ).
tcf(c_4437,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4391]) ).
tcf(c_4463,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4390]) ).
tcf(c_4464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4390]) ).
tcf(c_4465,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_4390]) ).
tcf(c_4466,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_4390]) ).
tcf(c_4467,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_4390]) ).
tcf(c_4468,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_4390]) ).
tcf(c_4469,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(sdtasdt0(xE,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_137,c_4390]) ).
tcf(c_4470,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_138,c_4390]) ).
tcf(c_4471,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_139,c_4390]) ).
tcf(c_4472,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3091,c_4390]) ).
tcf(c_4473,plain,
( sdtlseqdt0(iPr_def_17,xF)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3004,c_4390]) ).
tcf(c_4474,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3003,c_4390]) ).
tcf(c_4475,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3000,c_4390]) ).
tcf(c_4476,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3020,c_4390]) ).
tcf(c_4477,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3019,c_4390]) ).
tcf(c_4478,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_15)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3018,c_4390]) ).
tcf(c_4479,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_16)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3017,c_4390]) ).
tcf(c_4482,plain,
( sdtlseqdt0(iPr_def_17,xR)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4163,c_4390]) ).
tcf(c_4483,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4155,c_4390]) ).
tcf(c_4484,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4164,c_4390]) ).
tcf(c_4486,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4472,c_56]) ).
tcf(c_4491,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4484,c_135,c_56]) ).
tcf(c_4496,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4483,c_133,c_56]) ).
tcf(c_4501,plain,
( sdtlseqdt0(iPr_def_17,xR)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4482,c_129,c_56]) ).
tcf(c_4506,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_16)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4479,c_56]) ).
tcf(c_4512,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_15)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4478,c_56]) ).
tcf(c_4518,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4477,c_119,c_56]) ).
tcf(c_4523,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4476,c_117,c_56]) ).
tcf(c_4528,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4475,c_56]) ).
tcf(c_4534,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4474,c_125,c_56]) ).
tcf(c_4539,plain,
( sdtlseqdt0(iPr_def_17,xF)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4473,c_123,c_56]) ).
tcf(c_4558,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4468,c_56]) ).
tcf(c_4565,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4467,c_56]) ).
tcf(c_4584,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4466,c_56]) ).
tcf(c_4594,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4465,c_56]) ).
tcf(c_4667,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4463,c_80]) ).
tcf(c_4668,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4463,c_79]) ).
tcf(c_4671,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4463,c_80]) ).
tcf(c_4672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4463,c_79]) ).
tcf(c_4675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4463,c_4390]) ).
tcf(c_4676,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4463,c_80]) ).
tcf(c_4677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4463,c_79]) ).
tcf(c_4684,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_14,iPr_def_17)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(equality_factoring,[status(thm)],[c_4463]) ).
tcf(c_4687,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_14,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(equality_factoring,[status(thm)],[c_4463]) ).
tcf(c_4774,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_4463,c_4159]) ).
tcf(c_4775,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_83,c_4159]) ).
tcf(c_4776,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4775,c_121,c_56]) ).
tcf(c_4780,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4774,c_121,c_56]) ).
tcf(c_4795,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),sz00) = sdtlbdtrb0(X0,sz00) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_4796,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),szszuzczcdt0(X0)) = sdtlbdtrb0(X1,szszuzczcdt0(X0)) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_4797,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),sK0(X0)) = sdtlbdtrb0(X1,sK0(X0)) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_94]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),aDimensionOf0(X0)) = sdtlbdtrb0(X1,aDimensionOf0(X0)) )
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_94]) ).
tcf(c_4799,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(xs)) = sdtlbdtrb0(X0,aDimensionOf0(xs)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_2989,c_94]) ).
tcf(c_4832,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz0z00,X0),X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_68]) ).
tcf(c_4833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_68]) ).
tcf(c_4834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_68]) ).
tcf(c_4835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_68]) ).
tcf(c_4836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(X3,X0),X1),X2) = sdtpldt0(sdtlbdtrb0(X3,X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_68]) ).
tcf(c_4837,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xA,X0),X1) = sdtpldt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_68]) ).
tcf(c_4838,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xB,X0),X1) = sdtpldt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_68]) ).
tcf(c_4839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xC,X0),X1) = sdtpldt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_68]) ).
tcf(c_4840,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xD,X0),X1) = sdtpldt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_68]) ).
tcf(c_4841,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xE,X0),X1) = sdtpldt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_68]) ).
tcf(c_4842,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xF,X0),X1) = sdtpldt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_68]) ).
tcf(c_4843,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xG,X0),X1) = sdtpldt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_68]) ).
tcf(c_4844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xH,X0),X1) = sdtpldt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_68]) ).
tcf(c_4845,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xR,X0),X1) = sdtpldt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_68]) ).
tcf(c_4846,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_68]) ).
tcf(c_4847,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xS,X0),X1) = sdtpldt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_68]) ).
tcf(c_4848,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xN,X0),X1) = sdtpldt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_68]) ).
tcf(c_4849,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xs,sz00),X0),X1) = sdtpldt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_68]) ).
tcf(c_4974,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz0z00,X0),X1) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_70]) ).
tcf(c_4975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_70]) ).
tcf(c_4976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_70]) ).
tcf(c_4977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_70]) ).
tcf(c_4978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(X3,X0),X1),X2) = sdtasdt0(sdtlbdtrb0(X3,X0),sdtasdt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_70]) ).
tcf(c_4979,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xA,X0),X1) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_70]) ).
tcf(c_4980,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xB,X0),X1) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_70]) ).
tcf(c_4981,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xC,X0),X1) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_70]) ).
tcf(c_4982,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xD,X0),X1) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_70]) ).
tcf(c_4983,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xE,X0),X1) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_70]) ).
tcf(c_4984,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xF,X0),X1) = sdtasdt0(xF,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_70]) ).
tcf(c_4985,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xG,X0),X1) = sdtasdt0(xG,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_70]) ).
tcf(c_4986,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xH,X0),X1) = sdtasdt0(xH,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_70]) ).
tcf(c_4987,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xR,X0),X1) = sdtasdt0(xR,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_70]) ).
tcf(c_4988,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xP,X0),X1) = sdtasdt0(xP,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_70]) ).
tcf(c_4989,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xS,X0),X1) = sdtasdt0(xS,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_70]) ).
tcf(c_4990,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xN,X0),X1) = sdtasdt0(xN,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_70]) ).
tcf(c_4991,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0),X1) = sdtasdt0(sdtlbdtrb0(xs,sz00),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_70]) ).
tcf(c_5123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz0z00,X0),sdtasdt0(sz0z00,X1)) = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_72]) ).
tcf(c_5124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_72]) ).
tcf(c_5125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_72]) ).
tcf(c_5126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X1),sdtasdt0(smndt0(X0),X2)) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_72]) ).
tcf(c_5127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X3,X0),X1),sdtasdt0(sdtlbdtrb0(X3,X0),X2)) = sdtasdt0(sdtlbdtrb0(X3,X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_72]) ).
tcf(c_5128,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xA,X0),sdtasdt0(xA,X1)) = sdtasdt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_72]) ).
tcf(c_5129,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xB,X0),sdtasdt0(xB,X1)) = sdtasdt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_72]) ).
tcf(c_5130,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xC,X0),sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_5131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xD,X0),sdtasdt0(xD,X1)) = sdtasdt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_72]) ).
tcf(c_5132,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xE,X0),sdtasdt0(xE,X1)) = sdtasdt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_72]) ).
tcf(c_5133,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xF,X0),sdtasdt0(xF,X1)) = sdtasdt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_72]) ).
tcf(c_5134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xG,X0),sdtasdt0(xG,X1)) = sdtasdt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_72]) ).
tcf(c_5135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xH,X0),sdtasdt0(xH,X1)) = sdtasdt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_72]) ).
tcf(c_5136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,X0),sdtasdt0(xR,X1)) = sdtasdt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_72]) ).
tcf(c_5137,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xP,X0),sdtasdt0(xP,X1)) = sdtasdt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_72]) ).
tcf(c_5138,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xS,X0),sdtasdt0(xS,X1)) = sdtasdt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_72]) ).
tcf(c_5139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xN,X0),sdtasdt0(xN,X1)) = sdtasdt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_72]) ).
tcf(c_5140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0),sdtasdt0(sdtlbdtrb0(xs,sz00),X1)) = sdtasdt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_72]) ).
tcf(c_5284,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_4469,c_80]) ).
tcf(c_5285,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| ( sdtasdt0(xE,xE) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(iPr_def_14,sdtasdt0(xE,xE)) ),
inference(superposition,[status(thm)],[c_4469,c_79]) ).
tcf(c_5315,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4470,c_80]) ).
tcf(c_5316,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| ( sdtpldt0(xP,xP) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_4470,c_79]) ).
tcf(c_5346,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_4471,c_80]) ).
tcf(c_5347,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(iPr_def_14,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))) ),
inference(superposition,[status(thm)],[c_4471,c_79]) ).
tcf(c_5382,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4486,c_80]) ).
tcf(c_5383,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4486,c_79]) ).
tcf(c_5384,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5383,c_56]) ).
tcf(c_5390,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5382,c_56]) ).
tcf(c_5406,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4491,c_80]) ).
tcf(c_5407,plain,
( sdtlseqdt0(iPr_def_17,xN)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4491,c_79]) ).
tcf(c_5408,plain,
( sdtlseqdt0(iPr_def_17,xN)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5407,c_56]) ).
tcf(c_5414,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5406,c_56]) ).
tcf(c_5430,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4496,c_80]) ).
tcf(c_5431,plain,
( sdtlseqdt0(iPr_def_17,xS)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4496,c_79]) ).
tcf(c_5432,plain,
( sdtlseqdt0(iPr_def_17,xS)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5431,c_56]) ).
tcf(c_5438,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5430,c_56]) ).
tcf(c_5457,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_4463,c_4165]) ).
tcf(c_5458,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_83,c_4165]) ).
tcf(c_5459,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5458,c_113,c_56]) ).
tcf(c_5463,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5457,c_113,c_56]) ).
tcf(c_5478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz0z00,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_73]) ).
tcf(c_5479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_73]) ).
tcf(c_5480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_73]) ).
tcf(c_5481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(smndt0(X0),X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_73]) ).
tcf(c_5482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X3,X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X3,X0),X1),X2) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_73]) ).
tcf(c_5483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xA,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xA,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_73]) ).
tcf(c_5484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xB,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xB,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_73]) ).
tcf(c_5485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xC,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xC,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_73]) ).
tcf(c_5486,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xD,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xD,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_73]) ).
tcf(c_5487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xE,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xE,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_73]) ).
tcf(c_5488,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xF,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xF,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_73]) ).
tcf(c_5489,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xG,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xG,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_73]) ).
tcf(c_5490,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xH,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xH,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_73]) ).
tcf(c_5491,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xR,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_73]) ).
tcf(c_5492,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xP,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xP,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_73]) ).
tcf(c_5493,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xS,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xS,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_73]) ).
tcf(c_5494,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xN,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xN,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_73]) ).
tcf(c_5495,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,sz00),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_73]) ).
tcf(c_5594,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_97]) ).
tcf(c_5595,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xt) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_97]) ).
tcf(c_5596,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(equality_resolution,[status(thm)],[c_97]) ).
tcf(c_5600,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5595,c_103]) ).
tcf(c_5601,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5594,c_101]) ).
tcf(c_5623,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt)) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_95]) ).
tcf(c_5624,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt)) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_95]) ).
tcf(c_5626,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5624,c_103,c_112]) ).
tcf(c_5627,plain,
! [X0: $i] :
( ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5626,c_104,c_101]) ).
tcf(c_5631,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5623,c_112]) ).
tcf(c_5648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3031,c_81]) ).
tcf(c_5649,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3033,c_81]) ).
tcf(c_5650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3034,c_81]) ).
tcf(c_5651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3035,c_81]) ).
tcf(c_5652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3036,c_81]) ).
tcf(c_5653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3037,c_81]) ).
tcf(c_5654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3038,c_81]) ).
tcf(c_5655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3039,c_81]) ).
tcf(c_5656,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3040,c_81]) ).
tcf(c_5657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3041,c_81]) ).
tcf(c_5658,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3042,c_81]) ).
tcf(c_5659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3043,c_81]) ).
tcf(c_5660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3044,c_81]) ).
tcf(c_5661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3054,c_81]) ).
tcf(c_5662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3055,c_81]) ).
tcf(c_5663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3056,c_81]) ).
tcf(c_5664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3057,c_81]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3058,c_81]) ).
tcf(c_5666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3059,c_81]) ).
tcf(c_5667,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3060,c_81]) ).
tcf(c_5668,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3061,c_81]) ).
tcf(c_5669,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3062,c_81]) ).
tcf(c_5670,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3063,c_81]) ).
tcf(c_5671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3064,c_81]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3065,c_81]) ).
tcf(c_5673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_3250,c_81]) ).
tcf(c_5674,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_3251,c_81]) ).
tcf(c_5675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_3252,c_81]) ).
tcf(c_5676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_3253,c_81]) ).
tcf(c_5677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_3254,c_81]) ).
tcf(c_5678,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_3255,c_81]) ).
tcf(c_5679,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_3256,c_81]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_3257,c_81]) ).
tcf(c_5681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_3258,c_81]) ).
tcf(c_5682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_3259,c_81]) ).
tcf(c_5683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_3260,c_81]) ).
tcf(c_5684,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3261,c_81]) ).
tcf(c_5685,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_3294,c_81]) ).
tcf(c_5686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3031,c_81]) ).
tcf(c_5687,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_3033,c_81]) ).
tcf(c_5688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_3034,c_81]) ).
tcf(c_5689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_3035,c_81]) ).
tcf(c_5690,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_3036,c_81]) ).
tcf(c_5691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_3037,c_81]) ).
tcf(c_5692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_3038,c_81]) ).
tcf(c_5693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_3039,c_81]) ).
tcf(c_5694,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_3040,c_81]) ).
tcf(c_5695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_3041,c_81]) ).
tcf(c_5696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_3042,c_81]) ).
tcf(c_5697,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_3043,c_81]) ).
tcf(c_5698,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_3044,c_81]) ).
tcf(c_5699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3054,c_81]) ).
tcf(c_5700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3055,c_81]) ).
tcf(c_5701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3056,c_81]) ).
tcf(c_5702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3057,c_81]) ).
tcf(c_5703,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3058,c_81]) ).
tcf(c_5704,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3059,c_81]) ).
tcf(c_5705,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3060,c_81]) ).
tcf(c_5706,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3061,c_81]) ).
tcf(c_5707,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3062,c_81]) ).
tcf(c_5708,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3063,c_81]) ).
tcf(c_5709,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3064,c_81]) ).
tcf(c_5710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3065,c_81]) ).
tcf(c_5711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_3250,c_81]) ).
tcf(c_5712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_3251,c_81]) ).
tcf(c_5713,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_3252,c_81]) ).
tcf(c_5714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_3253,c_81]) ).
tcf(c_5715,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_3254,c_81]) ).
tcf(c_5716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_3255,c_81]) ).
tcf(c_5717,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_3256,c_81]) ).
tcf(c_5718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_3257,c_81]) ).
tcf(c_5719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3258,c_81]) ).
tcf(c_5720,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_3259,c_81]) ).
tcf(c_5721,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3260,c_81]) ).
tcf(c_5722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3261,c_81]) ).
tcf(c_5723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_3294,c_81]) ).
tcf(c_5724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X3))
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_4390]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sdtpldt0(X3,X4),X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X1)
| ~ sdtlseqdt0(X3,X0)
| ~ aScalar0(sdtpldt0(X3,X4))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_81,c_80]) ).
tcf(c_5726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X2,X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ),
inference(superposition,[status(thm)],[c_81,c_79]) ).
tcf(c_5727,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5686,c_56]) ).
tcf(c_5734,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5710,c_135,c_56]) ).
tcf(c_5740,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5709,c_133,c_56]) ).
tcf(c_5746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5708,c_131,c_56]) ).
tcf(c_5752,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5707,c_129,c_56]) ).
tcf(c_5758,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5706,c_127,c_56]) ).
tcf(c_5764,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5705,c_125,c_56]) ).
tcf(c_5770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5704,c_123,c_56]) ).
tcf(c_5776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5703,c_121,c_56]) ).
tcf(c_5782,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5702,c_119,c_56]) ).
tcf(c_5788,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5701,c_117,c_56]) ).
tcf(c_5794,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5700,c_115,c_56]) ).
tcf(c_5800,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5699,c_113,c_56]) ).
tcf(c_5806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5698,c_135,c_56]) ).
tcf(c_5812,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5697,c_133,c_56]) ).
tcf(c_5818,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5696,c_131,c_56]) ).
tcf(c_5824,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5695,c_129,c_56]) ).
tcf(c_5830,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5694,c_127,c_56]) ).
tcf(c_5836,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5693,c_125,c_56]) ).
tcf(c_5842,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5692,c_123,c_56]) ).
tcf(c_5848,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5691,c_121,c_56]) ).
tcf(c_5854,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5690,c_119,c_56]) ).
tcf(c_5860,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5689,c_117,c_56]) ).
tcf(c_5866,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5688,c_115,c_56]) ).
tcf(c_5872,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5687,c_113,c_56]) ).
tcf(c_5878,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5672,c_135,c_56]) ).
tcf(c_5884,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5671,c_133,c_56]) ).
tcf(c_5890,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5670,c_131,c_56]) ).
tcf(c_5896,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5669,c_129,c_56]) ).
tcf(c_5902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5668,c_127,c_56]) ).
tcf(c_5908,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5667,c_125,c_56]) ).
tcf(c_5914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5666,c_123,c_56]) ).
tcf(c_5920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5665,c_121,c_56]) ).
tcf(c_5926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5664,c_119,c_56]) ).
tcf(c_5932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5663,c_117,c_56]) ).
tcf(c_5938,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5662,c_115,c_56]) ).
tcf(c_5944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5661,c_113,c_56]) ).
tcf(c_5950,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5660,c_135,c_56]) ).
tcf(c_5956,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5659,c_133,c_56]) ).
tcf(c_5962,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5658,c_131,c_56]) ).
tcf(c_5968,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5657,c_129,c_56]) ).
tcf(c_5974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5656,c_127,c_56]) ).
tcf(c_5980,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5655,c_125,c_56]) ).
tcf(c_5986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5654,c_123,c_56]) ).
tcf(c_5992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5653,c_121,c_56]) ).
tcf(c_5998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5652,c_119,c_56]) ).
tcf(c_6004,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5651,c_117,c_56]) ).
tcf(c_6010,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5650,c_115,c_56]) ).
tcf(c_6016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5649,c_113,c_56]) ).
tcf(c_6022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5723,c_113]) ).
tcf(c_6029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5722,c_135]) ).
tcf(c_6036,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5721,c_133]) ).
tcf(c_6043,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5720,c_131]) ).
tcf(c_6050,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5719,c_129]) ).
tcf(c_6057,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5718,c_127]) ).
tcf(c_6064,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5717,c_125]) ).
tcf(c_6071,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5716,c_123]) ).
tcf(c_6078,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5715,c_121]) ).
tcf(c_6085,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5714,c_119]) ).
tcf(c_6092,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5713,c_117]) ).
tcf(c_6099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5712,c_115]) ).
tcf(c_6106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5711,c_113]) ).
tcf(c_6113,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5685,c_113]) ).
tcf(c_6120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5684,c_135]) ).
tcf(c_6127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5683,c_133]) ).
tcf(c_6134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5682,c_131]) ).
tcf(c_6141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5681,c_129]) ).
tcf(c_6148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5680,c_127]) ).
tcf(c_6155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5679,c_125]) ).
tcf(c_6162,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5678,c_123]) ).
tcf(c_6169,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5677,c_121]) ).
tcf(c_6176,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5676,c_119]) ).
tcf(c_6183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5675,c_117]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5674,c_115]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5673,c_113]) ).
tcf(c_6380,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_3295,c_81]) ).
tcf(c_6381,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_3295,c_81]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6381,c_115]) ).
tcf(c_6389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6380,c_115]) ).
tcf(c_6398,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_3296,c_81]) ).
tcf(c_6399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_3296,c_81]) ).
tcf(c_6400,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6399,c_117]) ).
tcf(c_6407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6398,c_117]) ).
tcf(c_6416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_3297,c_81]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_3297,c_81]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6417,c_119]) ).
tcf(c_6425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6416,c_119]) ).
tcf(c_6439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_3298,c_81]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_3298,c_81]) ).
tcf(c_6441,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6440,c_121]) ).
tcf(c_6448,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6439,c_121]) ).
tcf(c_6455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X3))
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_5724,c_57,c_5724]) ).
tcf(c_6456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X3),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_6455]) ).
tcf(c_6457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X3),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_6456,c_57,c_6456]) ).
tcf(c_6458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X1,X3))
| sdtlseqdt0(sdtpldt0(X0,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_6457]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_6458]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_6458]) ).
tcf(c_6482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4463,c_6458]) ).
tcf(c_6483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_6458]) ).
tcf(c_6484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(X2,X3),X5))
| sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),X4),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_6458]) ).
tcf(c_6485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_6458]) ).
tcf(c_6486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_6458]) ).
tcf(c_6487,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_6458]) ).
tcf(c_6488,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_6458]) ).
tcf(c_6489,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(xC,xD),X1))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_137,c_6458]) ).
tcf(c_6490,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(xR,xS),X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_138,c_6458]) ).
tcf(c_6491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),X1))
| sdtlseqdt0(sdtpldt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_139,c_6458]) ).
tcf(c_6492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3091,c_6458]) ).
tcf(c_6493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xF,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3004,c_6458]) ).
tcf(c_6494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xG,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3003,c_6458]) ).
tcf(c_6495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4496,c_6458]) ).
tcf(c_6496,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4491,c_6458]) ).
tcf(c_6497,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4486,c_6458]) ).
tcf(c_6498,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3000,c_6458]) ).
tcf(c_6499,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xC,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3020,c_6458]) ).
tcf(c_6500,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xD,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3019,c_6458]) ).
tcf(c_6501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_15,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3018,c_6458]) ).
tcf(c_6502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_16,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3017,c_6458]) ).
tcf(c_6503,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3470,c_6458]) ).
tcf(c_6504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4463,c_6458]) ).
tcf(c_6505,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4372,c_6458]) ).
tcf(c_6506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4163,c_6458]) ).
tcf(c_6507,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xS,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4155,c_6458]) ).
tcf(c_6508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xN,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4164,c_6458]) ).
tcf(c_6509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4372,c_6458]) ).
tcf(c_6510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4463,c_6458]) ).
tcf(c_6511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_4469,c_6458]) ).
tcf(c_6512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4470,c_6458]) ).
tcf(c_6513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtpldt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_4471,c_6458]) ).
tcf(c_6521,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6492,c_56]) ).
tcf(c_6546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xN,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6508,c_135,c_56]) ).
tcf(c_6554,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xS,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6507,c_133,c_56]) ).
tcf(c_6562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6506,c_129,c_56]) ).
tcf(c_6579,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_16,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6502,c_56]) ).
tcf(c_6588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_15,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6501,c_56]) ).
tcf(c_6597,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xD,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6500,c_119,c_56]) ).
tcf(c_6605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xC,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6499,c_117,c_56]) ).
tcf(c_6613,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6498,c_56]) ).
tcf(c_6622,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6497,c_56]) ).
tcf(c_6631,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6496,c_56]) ).
tcf(c_6640,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6495,c_56]) ).
tcf(c_6649,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xG,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6494,c_125,c_56]) ).
tcf(c_6657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xF,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6493,c_123,c_56]) ).
tcf(c_6718,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6488,c_56]) ).
tcf(c_6728,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6487,c_56]) ).
tcf(c_6776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6486,c_56]) ).
tcf(c_6789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6485,c_56]) ).
tcf(c_6907,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6503]) ).
tcf(c_6908,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_6503]) ).
tcf(c_6909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4463,c_6503]) ).
tcf(c_6910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_6503]) ).
tcf(c_6911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_6503]) ).
tcf(c_6912,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_6503]) ).
tcf(c_6913,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_6503]) ).
tcf(c_6914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_6503]) ).
tcf(c_6915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_6503]) ).
tcf(c_6916,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_137,c_6503]) ).
tcf(c_6917,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_138,c_6503]) ).
tcf(c_6918,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_139,c_6503]) ).
tcf(c_6919,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3091,c_6503]) ).
tcf(c_6920,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3004,c_6503]) ).
tcf(c_6921,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3003,c_6503]) ).
tcf(c_6922,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4496,c_6503]) ).
tcf(c_6923,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4491,c_6503]) ).
tcf(c_6924,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4486,c_6503]) ).
tcf(c_6925,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3000,c_6503]) ).
tcf(c_6926,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3020,c_6503]) ).
tcf(c_6927,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3019,c_6503]) ).
tcf(c_6928,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3018,c_6503]) ).
tcf(c_6929,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3017,c_6503]) ).
tcf(c_6930,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_3470,c_6503]) ).
tcf(c_6931,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4463,c_6503]) ).
tcf(c_6932,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4372,c_6503]) ).
tcf(c_6933,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4163,c_6503]) ).
tcf(c_6934,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4155,c_6503]) ).
tcf(c_6935,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4164,c_6503]) ).
tcf(c_6936,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4372,c_6503]) ).
tcf(c_6937,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4463,c_6503]) ).
tcf(c_6938,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_4469,c_6503]) ).
tcf(c_6939,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4470,c_6503]) ).
tcf(c_6940,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_4471,c_6503]) ).
tcf(c_6945,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6919,c_56]) ).
tcf(c_6961,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6935,c_135,c_56]) ).
tcf(c_6966,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6934,c_133,c_56]) ).
tcf(c_6971,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6933,c_129,c_56]) ).
tcf(c_6982,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6929,c_56]) ).
tcf(c_6988,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6928,c_56]) ).
tcf(c_6994,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6927,c_119,c_56]) ).
tcf(c_6999,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6926,c_117,c_56]) ).
tcf(c_7004,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6925,c_56]) ).
tcf(c_7010,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6924,c_56]) ).
tcf(c_7016,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6923,c_56]) ).
tcf(c_7022,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6922,c_56]) ).
tcf(c_7028,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6921,c_125,c_56]) ).
tcf(c_7033,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6920,c_123,c_56]) ).
tcf(c_7076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6915,c_56]) ).
tcf(c_7083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6914,c_56]) ).
tcf(c_7116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6913,c_56]) ).
tcf(c_7126,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6912,c_56]) ).
tcf(c_7217,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6930,c_6503]) ).
tcf(c_7218,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6930,c_6458]) ).
tcf(c_7220,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6930,c_80]) ).
tcf(c_7221,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6930,c_79]) ).
tcf(c_7266,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6907,c_6503]) ).
tcf(c_7267,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6907,c_6458]) ).
tcf(c_7269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6907,c_80]) ).
tcf(c_7270,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6907,c_79]) ).
tcf(c_7319,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6932,c_6503]) ).
tcf(c_7320,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6932,c_6458]) ).
tcf(c_7322,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6932,c_80]) ).
tcf(c_7323,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6932,c_79]) ).
tcf(c_7379,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6936,c_6503]) ).
tcf(c_7380,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6936,c_6458]) ).
tcf(c_7382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6936,c_80]) ).
tcf(c_7383,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6936,c_79]) ).
tcf(c_7384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6936,c_6503]) ).
tcf(c_7385,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6936,c_6458]) ).
tcf(c_7387,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6936,c_80]) ).
tcf(c_7388,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6936,c_79]) ).
tcf(c_7482,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7217,c_6503]) ).
tcf(c_7483,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7217,c_6458]) ).
tcf(c_7485,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7217,c_80]) ).
tcf(c_7486,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7217,c_79]) ).
tcf(c_7555,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6908,c_6503]) ).
tcf(c_7556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6908,c_6458]) ).
tcf(c_7557,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6908,c_4390]) ).
tcf(c_7558,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6908,c_80]) ).
tcf(c_7559,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6908,c_79]) ).
tcf(c_7563,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6908,c_4391]) ).
tcf(c_7564,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_6908,c_4165]) ).
tcf(c_7565,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_6908,c_4159]) ).
tcf(c_7566,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_6503]) ).
tcf(c_7567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X3),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_6458]) ).
tcf(c_7569,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6908,c_80]) ).
tcf(c_7570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6908,c_79]) ).
tcf(c_7571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_6503]) ).
tcf(c_7572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_6458]) ).
tcf(c_7574,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_80]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_79]) ).
tcf(c_7578,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6908]) ).
tcf(c_7579,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_14),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_6908]) ).
tcf(c_7605,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7565,c_121,c_56]) ).
tcf(c_7612,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7564,c_113,c_56]) ).
tcf(c_7767,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6908,c_4776]) ).
tcf(c_7768,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4463,c_4776]) ).
tcf(c_7769,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4776]) ).
tcf(c_7770,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7769,c_127,c_56]) ).
tcf(c_7774,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7768,c_127,c_56]) ).
tcf(c_7781,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7767,c_127,c_56]) ).
tcf(c_7804,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(xA)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_124,c_87]) ).
tcf(c_7805,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_126,c_87]) ).
tcf(c_7806,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(superposition,[status(thm)],[c_3073,c_87]) ).
tcf(c_7807,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1872,c_87]) ).
tcf(c_7815,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7806,c_56,c_3091]) ).
tcf(c_7820,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7805,c_115]) ).
tcf(c_7826,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7804,c_113]) ).
tcf(c_7847,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xp)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_106,c_91]) ).
tcf(c_7848,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xq)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_654,c_91]) ).
tcf(c_7849,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(superposition,[status(thm)],[c_103,c_91]) ).
tcf(c_7850,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7848,c_109]) ).
tcf(c_7856,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7847,c_105]) ).
tcf(c_7862,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7849,c_101]) ).
tcf(c_7887,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_124,c_82]) ).
tcf(c_7888,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_126,c_82]) ).
tcf(c_7889,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_128,c_82]) ).
tcf(c_7890,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_130,c_82]) ).
tcf(c_7891,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_132,c_82]) ).
tcf(c_7892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtasdt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_134,c_82]) ).
tcf(c_7893,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_136,c_82]) ).
tcf(c_7894,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3073,c_82]) ).
tcf(c_7895,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_1872,c_82]) ).
tcf(c_7896,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_16)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1875,c_82]) ).
tcf(c_7897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3075,c_82]) ).
tcf(c_7898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3076,c_82]) ).
tcf(c_7899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3077,c_82]) ).
tcf(c_7900,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3078,c_82]) ).
tcf(c_7901,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3079,c_82]) ).
tcf(c_7902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3080,c_82]) ).
tcf(c_7903,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3081,c_82]) ).
tcf(c_7904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3082,c_82]) ).
tcf(c_7905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3083,c_82]) ).
tcf(c_7906,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3084,c_82]) ).
tcf(c_7907,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3085,c_82]) ).
tcf(c_7908,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3086,c_82]) ).
tcf(c_7909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3098,c_82]) ).
tcf(c_7910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3099,c_82]) ).
tcf(c_7911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3100,c_82]) ).
tcf(c_7912,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3101,c_82]) ).
tcf(c_7913,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3102,c_82]) ).
tcf(c_7914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3103,c_82]) ).
tcf(c_7915,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3104,c_82]) ).
tcf(c_7916,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3105,c_82]) ).
tcf(c_7917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3106,c_82]) ).
tcf(c_7918,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3107,c_82]) ).
tcf(c_7919,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3108,c_82]) ).
tcf(c_7920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3109,c_82]) ).
tcf(c_7921,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_124,c_82]) ).
tcf(c_7922,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_126,c_82]) ).
tcf(c_7923,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_128,c_82]) ).
tcf(c_7924,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_130,c_82]) ).
tcf(c_7925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_132,c_82]) ).
tcf(c_7926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_134,c_82]) ).
tcf(c_7927,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_136,c_82]) ).
tcf(c_7928,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3073,c_82]) ).
tcf(c_7929,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1872,c_82]) ).
tcf(c_7930,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_1875,c_82]) ).
tcf(c_7931,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_3075,c_82]) ).
tcf(c_7932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_3076,c_82]) ).
tcf(c_7933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_3077,c_82]) ).
tcf(c_7934,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_3078,c_82]) ).
tcf(c_7935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_3079,c_82]) ).
tcf(c_7936,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_3080,c_82]) ).
tcf(c_7937,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_3081,c_82]) ).
tcf(c_7938,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_3082,c_82]) ).
tcf(c_7939,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_3083,c_82]) ).
tcf(c_7940,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_3084,c_82]) ).
tcf(c_7941,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_3085,c_82]) ).
tcf(c_7942,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_3086,c_82]) ).
tcf(c_7943,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3098,c_82]) ).
tcf(c_7944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3099,c_82]) ).
tcf(c_7945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3100,c_82]) ).
tcf(c_7946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3101,c_82]) ).
tcf(c_7947,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3102,c_82]) ).
tcf(c_7948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3103,c_82]) ).
tcf(c_7949,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3104,c_82]) ).
tcf(c_7950,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3105,c_82]) ).
tcf(c_7951,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3106,c_82]) ).
tcf(c_7952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3107,c_82]) ).
tcf(c_7953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3108,c_82]) ).
tcf(c_7954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3109,c_82]) ).
tcf(c_7955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_6503]) ).
tcf(c_7956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X2,X3),X5))
| sdtlseqdt0(sdtpldt0(sdtasdt0(X0,X1),X4),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_6458]) ).
tcf(c_7957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(X2,X3))
| sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_4390]) ).
tcf(c_7958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sdtasdt0(X3,X4),X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ sdtlseqdt0(X4,X1)
| ~ sdtlseqdt0(X3,X0)
| ~ aScalar0(sdtasdt0(X3,X4))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_82,c_80]) ).
tcf(c_7959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) ),
inference(superposition,[status(thm)],[c_82,c_79]) ).
tcf(c_7967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7928,c_56]) ).
tcf(c_7974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7922,c_115]) ).
tcf(c_7981,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7921,c_113]) ).
tcf(c_7996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7888,c_115]) ).
tcf(c_8003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7887,c_113]) ).
tcf(c_8010,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7954,c_135,c_56]) ).
tcf(c_8017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7953,c_133,c_56]) ).
tcf(c_8024,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7952,c_131,c_56]) ).
tcf(c_8031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7951,c_129,c_56]) ).
tcf(c_8038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7950,c_127,c_56]) ).
tcf(c_8045,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7949,c_125,c_56]) ).
tcf(c_8052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7948,c_123,c_56]) ).
tcf(c_8059,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7947,c_121,c_56]) ).
tcf(c_8066,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7946,c_119,c_56]) ).
tcf(c_8073,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7945,c_117,c_56]) ).
tcf(c_8080,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7944,c_115,c_56]) ).
tcf(c_8087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7943,c_113,c_56]) ).
tcf(c_8094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7942,c_135,c_56]) ).
tcf(c_8101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7941,c_133,c_56]) ).
tcf(c_8108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7940,c_131,c_56]) ).
tcf(c_8115,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7939,c_129,c_56]) ).
tcf(c_8122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7938,c_127,c_56]) ).
tcf(c_8129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7937,c_125,c_56]) ).
tcf(c_8136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7936,c_123,c_56]) ).
tcf(c_8143,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7935,c_121,c_56]) ).
tcf(c_8150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7934,c_119,c_56]) ).
tcf(c_8157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7933,c_117,c_56]) ).
tcf(c_8164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7932,c_115,c_56]) ).
tcf(c_8171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7931,c_113,c_56]) ).
tcf(c_8186,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7927,c_133,c_129]) ).
tcf(c_8193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7926,c_123,c_119]) ).
tcf(c_8200,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7925,c_127,c_121]) ).
tcf(c_8207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7924,c_125,c_117]) ).
tcf(c_8214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7923,c_115,c_113]) ).
tcf(c_8221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7920,c_135,c_56,c_4164]) ).
tcf(c_8227,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7919,c_133,c_56,c_4155]) ).
tcf(c_8233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7918,c_131,c_56]) ).
tcf(c_8240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7917,c_129,c_56,c_4163]) ).
tcf(c_8246,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7916,c_127,c_56]) ).
tcf(c_8253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7915,c_125,c_56,c_3003]) ).
tcf(c_8259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7914,c_123,c_56,c_3004]) ).
tcf(c_8265,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7913,c_121,c_56]) ).
tcf(c_8272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7912,c_119,c_56,c_3019]) ).
tcf(c_8278,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7911,c_117,c_56,c_3020]) ).
tcf(c_8284,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7910,c_115,c_56]) ).
tcf(c_8291,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7909,c_113,c_56]) ).
tcf(c_8298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7908,c_135,c_56,c_3091]) ).
tcf(c_8304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7907,c_133,c_56,c_3091]) ).
tcf(c_8310,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7906,c_131,c_56,c_3091]) ).
tcf(c_8316,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7905,c_129,c_56,c_3091]) ).
tcf(c_8322,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7904,c_127,c_56,c_3091]) ).
tcf(c_8328,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7903,c_125,c_56,c_3091]) ).
tcf(c_8334,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7902,c_123,c_56,c_3091]) ).
tcf(c_8340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7901,c_121,c_56,c_3091]) ).
tcf(c_8346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7900,c_119,c_56,c_3091]) ).
tcf(c_8352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7899,c_117,c_56,c_3091]) ).
tcf(c_8358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7898,c_115,c_56,c_3091]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7897,c_113,c_56,c_3091]) ).
tcf(c_8370,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7896,c_3017]) ).
tcf(c_8378,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7893,c_133,c_129,c_4155]) ).
tcf(c_8384,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7892,c_123,c_119,c_3019]) ).
tcf(c_8390,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7891,c_127,c_121]) ).
tcf(c_8397,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7890,c_125,c_117,c_3003]) ).
tcf(c_8403,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7889,c_115,c_113]) ).
tcf(c_8696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(sz0z00,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sz0z00,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_74]) ).
tcf(c_8697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_74]) ).
tcf(c_8698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_74]) ).
tcf(c_8699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(smndt0(X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(smndt0(X0),X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_74]) ).
tcf(c_8700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(X4,X0),X2),sdtasdt0(sdtlbdtrb0(X4,X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X4,X0),X1),sdtpldt0(X2,X3)) )
| ~ aVector0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_74]) ).
tcf(c_8701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,X1),sdtasdt0(xA,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xA,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_74]) ).
tcf(c_8702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,X1),sdtasdt0(xB,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xB,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_74]) ).
tcf(c_8703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,X1),sdtasdt0(xC,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xC,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_74]) ).
tcf(c_8704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,X1),sdtasdt0(xD,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xD,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_74]) ).
tcf(c_8705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),sdtasdt0(xE,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xE,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_74]) ).
tcf(c_8706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xF,X1),sdtasdt0(xF,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xF,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_74]) ).
tcf(c_8707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xG,X1),sdtasdt0(xG,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xG,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_74]) ).
tcf(c_8708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xH,X1),sdtasdt0(xH,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xH,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_74]) ).
tcf(c_8709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),sdtasdt0(xR,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_74]) ).
tcf(c_8710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xP,X1),sdtasdt0(xP,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xP,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_74]) ).
tcf(c_8711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,X1),sdtasdt0(xS,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xS,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_74]) ).
tcf(c_8712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,X1),sdtasdt0(xN,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xN,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_74]) ).
tcf(c_8713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X1),sdtasdt0(sdtlbdtrb0(xs,sz00),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,sz00),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3738,c_74]) ).
tcf(c_8865,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_3299,c_81]) ).
tcf(c_8866,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_3299,c_81]) ).
tcf(c_8867,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8866,c_123]) ).
tcf(c_8874,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8865,c_123]) ).
tcf(c_8883,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_3300,c_81]) ).
tcf(c_8884,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_3300,c_81]) ).
tcf(c_8885,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8884,c_125]) ).
tcf(c_8892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8883,c_125]) ).
tcf(c_8901,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_3301,c_81]) ).
tcf(c_8902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_3301,c_81]) ).
tcf(c_8903,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8902,c_127]) ).
tcf(c_8910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8901,c_127]) ).
tcf(c_8919,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_3302,c_81]) ).
tcf(c_8920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3302,c_81]) ).
tcf(c_8921,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8920,c_129]) ).
tcf(c_8928,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8919,c_129]) ).
tcf(c_8963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6909,c_6503]) ).
tcf(c_8964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X3),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6909,c_6458]) ).
tcf(c_8966,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6909,c_80]) ).
tcf(c_8967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6909,c_79]) ).
tcf(c_8968,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6909,c_6503]) ).
tcf(c_8969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6909,c_6458]) ).
tcf(c_8971,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6909,c_80]) ).
tcf(c_8972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6909,c_79]) ).
tcf(c_9078,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6931,c_6503]) ).
tcf(c_9079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6931,c_6458]) ).
tcf(c_9081,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6931,c_80]) ).
tcf(c_9082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_6931,c_79]) ).
tcf(c_9084,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6931,c_6503]) ).
tcf(c_9085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6931,c_6458]) ).
tcf(c_9086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6931,c_4390]) ).
tcf(c_9087,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6931,c_80]) ).
tcf(c_9088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6931,c_79]) ).
tcf(c_9092,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6931,c_4391]) ).
tcf(c_9093,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_6931,c_4165]) ).
tcf(c_9094,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_6931,c_4159]) ).
tcf(c_9095,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6931,c_4776]) ).
tcf(c_9096,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6931,c_6503]) ).
tcf(c_9097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6931,c_6458]) ).
tcf(c_9099,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6931,c_80]) ).
tcf(c_9100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6931,c_79]) ).
tcf(c_9103,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_14),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_6931]) ).
tcf(c_9119,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9095,c_127,c_56]) ).
tcf(c_9136,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9094,c_121,c_56]) ).
tcf(c_9144,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9093,c_113,c_56]) ).
tcf(c_9325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6937,c_6458]) ).
tcf(c_9327,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6937,c_80]) ).
tcf(c_9328,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6937,c_79]) ).
tcf(c_9329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6937,c_4392]) ).
tcf(c_9331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6937,c_6503]) ).
tcf(c_9332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6937,c_6458]) ).
tcf(c_9333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6937,c_4390]) ).
tcf(c_9334,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6937,c_80]) ).
tcf(c_9335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6937,c_79]) ).
tcf(c_9340,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_6937,c_4165]) ).
tcf(c_9341,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_6937,c_4159]) ).
tcf(c_9342,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6937,c_4776]) ).
tcf(c_9343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6937,c_6503]) ).
tcf(c_9344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6937,c_6458]) ).
tcf(c_9346,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6937,c_80]) ).
tcf(c_9347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6937,c_79]) ).
tcf(c_9348,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6937,c_6503]) ).
tcf(c_9349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6937,c_6458]) ).
tcf(c_9350,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6937,c_4390]) ).
tcf(c_9351,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6937,c_80]) ).
tcf(c_9352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6937,c_79]) ).
tcf(c_9358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(X0,sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6937]) ).
tcf(c_9359,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6937]) ).
tcf(c_9360,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6937]) ).
tcf(c_9380,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9342,c_127,c_56]) ).
tcf(c_9406,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9341,c_121,c_56]) ).
tcf(c_9414,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9340,c_113,c_56]) ).
tcf(c_9647,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7220,c_6503]) ).
tcf(c_9648,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7220,c_6458]) ).
tcf(c_9650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7220,c_80]) ).
tcf(c_9651,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = X0 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(X0,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7220,c_79]) ).
tcf(c_9715,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6908,c_7221]) ).
tcf(c_9717,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_83,c_7221]) ).
tcf(c_9775,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7319,c_57]) ).
tcf(c_9794,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9775,c_6503]) ).
tcf(c_9795,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9775,c_6458]) ).
tcf(c_9797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9775,c_80]) ).
tcf(c_9798,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9775,c_79]) ).
tcf(c_9924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7384,c_57]) ).
tcf(c_9943,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_9924,c_6503]) ).
tcf(c_9944,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_9924,c_6458]) ).
tcf(c_9946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(superposition,[status(thm)],[c_9924,c_80]) ).
tcf(c_9947,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9924,c_79]) ).
tcf(c_9993,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6937,c_5459]) ).
tcf(c_9994,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6931,c_5459]) ).
tcf(c_9995,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6908,c_5459]) ).
tcf(c_9996,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4463,c_5459]) ).
tcf(c_9997,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_5459]) ).
tcf(c_9998,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9997,c_115,c_56]) ).
tcf(c_10002,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9996,c_115,c_56]) ).
tcf(c_10009,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9995,c_115,c_56]) ).
tcf(c_10016,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9994,c_115,c_56]) ).
tcf(c_10024,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9993,c_115,c_56]) ).
tcf(c_10044,plain,
! [X0: $i] :
( ( sziznziztdt0(X0) = X0 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X0) ) ),
inference(equality_resolution,[status(thm)],[c_90]) ).
tcf(c_10060,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_98]) ).
tcf(c_10061,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(X0,xt) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_98]) ).
tcf(c_10062,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_98]) ).
tcf(c_10066,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB)) = sdtasasdt0(X0,xt) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_10061,c_103,c_112,c_653]) ).
tcf(c_10067,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB)) = sdtasasdt0(X0,xt) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10066,c_104,c_101]) ).
tcf(c_10071,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_10060,c_103,c_112,c_653]) ).
tcf(c_10072,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10071,c_101]) ).
tcf(c_10128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_3303,c_81]) ).
tcf(c_10129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_3303,c_81]) ).
tcf(c_10130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10129,c_131]) ).
tcf(c_10137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10128,c_131]) ).
tcf(c_10146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_3304,c_81]) ).
tcf(c_10147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3304,c_81]) ).
tcf(c_10148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10147,c_133]) ).
tcf(c_10155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10146,c_133]) ).
tcf(c_10164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3305,c_81]) ).
tcf(c_10165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3305,c_81]) ).
tcf(c_10166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10165,c_135]) ).
tcf(c_10173,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10164,c_135]) ).
tcf(c_10187,plain,
( aScalar0(iPr_def_15)
| ~ aVector0(xs) ),
inference(superposition,[status(thm)],[c_1873,c_3900]) ).
tcf(c_10188,plain,
( aScalar0(iPr_def_16)
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_1874,c_3900]) ).
tcf(c_10189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasasdt0(X3,X3),X1),sdtasdt0(sdtasasdt0(X3,X3),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasasdt0(X3,X3),X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_74]) ).
tcf(c_10190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasasdt0(X2,X2),X0),X1) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_73]) ).
tcf(c_10191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtasdt0(sdtasasdt0(X2,X2),X1)) = sdtasdt0(sdtasasdt0(X2,X2),sdtpldt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_72]) ).
tcf(c_10192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasasdt0(X2,X2),X0),X1) = sdtasdt0(sdtasasdt0(X2,X2),sdtasdt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_70]) ).
tcf(c_10193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasasdt0(X2,X2),X0),X1) = sdtpldt0(sdtasasdt0(X2,X2),sdtpldt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_68]) ).
tcf(c_10194,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X1,X1)),smndt0(X0)) = sdtasdt0(sdtasasdt0(X1,X1),X0) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_77]) ).
tcf(c_10195,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X1,X1)),X0) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),X0)) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_76]) ).
tcf(c_10196,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasasdt0(X1,X1),smndt0(X0)) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),X0)) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_75]) ).
tcf(c_10197,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_65]) ).
tcf(c_10198,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_64]) ).
tcf(c_10199,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_66]) ).
tcf(c_10200,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_63]) ).
tcf(c_10201,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_62]) ).
tcf(c_10202,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_61]) ).
tcf(c_10203,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3900,c_60]) ).
tcf(c_10204,plain,
aScalar0(iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_10188,c_101]) ).
tcf(c_10205,plain,
aScalar0(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_10187,c_100]) ).
tcf(c_10265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_16,X1),sdtasdt0(iPr_def_16,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_16,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_74]) ).
tcf(c_10266,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_16,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_16,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_73]) ).
tcf(c_10267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_16,X0),sdtasdt0(iPr_def_16,X1)) = sdtasdt0(iPr_def_16,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_72]) ).
tcf(c_10268,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_16,X0),X1) = sdtasdt0(iPr_def_16,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_70]) ).
tcf(c_10269,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_16,X0),X1) = sdtpldt0(iPr_def_16,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_68]) ).
tcf(c_10270,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_16),smndt0(X0)) = sdtasdt0(iPr_def_16,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_77]) ).
tcf(c_10271,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_16),X0) = smndt0(sdtasdt0(iPr_def_16,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_76]) ).
tcf(c_10272,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_16,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_16,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10204,c_75]) ).
tcf(c_10273,plain,
sdtpldt0(smndt0(iPr_def_16),iPr_def_16) = sz0z00,
inference(superposition,[status(thm)],[c_10204,c_65]) ).
tcf(c_10274,plain,
sdtpldt0(iPr_def_16,smndt0(iPr_def_16)) = sz0z00,
inference(superposition,[status(thm)],[c_10204,c_64]) ).
tcf(c_10275,plain,
smndt0(smndt0(iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_10204,c_66]) ).
tcf(c_10276,plain,
sdtasdt0(sz0z00,iPr_def_16) = sz0z00,
inference(superposition,[status(thm)],[c_10204,c_63]) ).
tcf(c_10277,plain,
sdtasdt0(iPr_def_16,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10204,c_62]) ).
tcf(c_10278,plain,
sdtpldt0(sz0z00,iPr_def_16) = iPr_def_16,
inference(superposition,[status(thm)],[c_10204,c_61]) ).
tcf(c_10279,plain,
sdtpldt0(iPr_def_16,sz0z00) = iPr_def_16,
inference(superposition,[status(thm)],[c_10204,c_60]) ).
tcf(c_10346,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6916,c_3208,c_6916,c_10205,c_10204]) ).
tcf(c_10347,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(renaming,[status(thm)],[c_10346]) ).
tcf(c_10358,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10347,c_6503]) ).
tcf(c_10359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10347,c_6458]) ).
tcf(c_10361,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10347,c_80]) ).
tcf(c_10362,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| ( sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10347,c_79]) ).
tcf(c_10399,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6917,c_3208,c_6917,c_10205,c_10204]) ).
tcf(c_10400,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(renaming,[status(thm)],[c_10399]) ).
tcf(c_10411,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10400,c_6503]) ).
tcf(c_10412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10400,c_6458]) ).
tcf(c_10414,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10400,c_80]) ).
tcf(c_10415,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| ( sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10400,c_79]) ).
tcf(c_10452,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7266,c_3208,c_7266,c_10205,c_10204]) ).
tcf(c_10453,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(renaming,[status(thm)],[c_10452]) ).
tcf(c_10467,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10453,c_6503]) ).
tcf(c_10468,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10453,c_6458]) ).
tcf(c_10470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10453,c_80]) ).
tcf(c_10471,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10453,c_79]) ).
tcf(c_10554,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7482,c_3208,c_7482,c_10205,c_10204]) ).
tcf(c_10555,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(renaming,[status(thm)],[c_10554]) ).
tcf(c_10566,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10555,c_6503]) ).
tcf(c_10567,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10555,c_6458]) ).
tcf(c_10569,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10555,c_80]) ).
tcf(c_10570,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10555,c_79]) ).
tcf(c_10612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_7555,c_3208,c_6907,c_10205,c_10204]) ).
tcf(c_10613,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(renaming,[status(thm)],[c_10612]) ).
tcf(c_10625,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_10613,c_4390]) ).
tcf(c_10626,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_10613,c_80]) ).
tcf(c_10627,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_10613,c_79]) ).
tcf(c_10650,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6938,c_3208,c_6938,c_10205,c_10204]) ).
tcf(c_10651,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(renaming,[status(thm)],[c_10650]) ).
tcf(c_10664,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10651,c_6503]) ).
tcf(c_10665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10651,c_6458]) ).
tcf(c_10667,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10651,c_80]) ).
tcf(c_10668,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10651,c_79]) ).
tcf(c_10714,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6939,c_3208,c_6939,c_10205,c_10204]) ).
tcf(c_10715,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(renaming,[status(thm)],[c_10714]) ).
tcf(c_10728,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10715,c_6503]) ).
tcf(c_10729,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10715,c_6458]) ).
tcf(c_10731,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10715,c_80]) ).
tcf(c_10732,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| ( sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10715,c_79]) ).
tcf(c_10789,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9794,c_3208,c_9794,c_10205,c_10204]) ).
tcf(c_10790,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(renaming,[status(thm)],[c_10789]) ).
tcf(c_10804,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10790,c_6503]) ).
tcf(c_10805,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10790,c_6458]) ).
tcf(c_10807,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10790,c_80]) ).
tcf(c_10808,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10790,c_79]) ).
tcf(c_10863,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7770,c_6458]) ).
tcf(c_10865,plain,
! [X0: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_7770,c_80]) ).
tcf(c_10866,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ( sz0z00 = xH )
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_7770,c_79]) ).
tcf(c_10867,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ( sz0z00 = xH )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10866,c_127,c_56]) ).
tcf(c_10872,plain,
! [X0: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10865,c_127,c_56]) ).
tcf(c_10878,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10863,c_127,c_56]) ).
tcf(c_10889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_15,X1),sdtasdt0(iPr_def_15,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_15,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_74]) ).
tcf(c_10890,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_15,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_15,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_73]) ).
tcf(c_10891,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_15,X0),sdtasdt0(iPr_def_15,X1)) = sdtasdt0(iPr_def_15,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_72]) ).
tcf(c_10892,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_15,X0),X1) = sdtasdt0(iPr_def_15,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_70]) ).
tcf(c_10893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_15,X0),X1) = sdtpldt0(iPr_def_15,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_68]) ).
tcf(c_10894,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_15),smndt0(X0)) = sdtasdt0(iPr_def_15,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_77]) ).
tcf(c_10895,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_15),X0) = smndt0(sdtasdt0(iPr_def_15,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_76]) ).
tcf(c_10896,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_15,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_15,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10205,c_75]) ).
tcf(c_10897,plain,
sdtpldt0(smndt0(iPr_def_15),iPr_def_15) = sz0z00,
inference(superposition,[status(thm)],[c_10205,c_65]) ).
tcf(c_10898,plain,
sdtpldt0(iPr_def_15,smndt0(iPr_def_15)) = sz0z00,
inference(superposition,[status(thm)],[c_10205,c_64]) ).
tcf(c_10899,plain,
smndt0(smndt0(iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_10205,c_66]) ).
tcf(c_10900,plain,
sdtasdt0(sz0z00,iPr_def_15) = sz0z00,
inference(superposition,[status(thm)],[c_10205,c_63]) ).
tcf(c_10901,plain,
sdtasdt0(iPr_def_15,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10205,c_62]) ).
tcf(c_10902,plain,
sdtpldt0(sz0z00,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_10205,c_61]) ).
tcf(c_10903,plain,
sdtpldt0(iPr_def_15,sz0z00) = iPr_def_15,
inference(superposition,[status(thm)],[c_10205,c_60]) ).
tcf(c_10966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_16)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10276,c_82]) ).
tcf(c_10967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10276,c_82]) ).
tcf(c_10968,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10967,c_10204,c_56]) ).
tcf(c_10975,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10966,c_10204,c_56,c_3017]) ).
tcf(c_10993,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10277,c_82]) ).
tcf(c_10994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10277,c_82]) ).
tcf(c_10995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10994,c_10204,c_56]) ).
tcf(c_11002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_10204,c_56,c_3091]) ).
tcf(c_11017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10278,c_81]) ).
tcf(c_11018,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10278,c_81]) ).
tcf(c_11019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11018,c_10204,c_56]) ).
tcf(c_11025,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11017,c_10204,c_56]) ).
tcf(c_11036,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10279,c_81]) ).
tcf(c_11037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10279,c_81]) ).
tcf(c_11038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11037,c_10204,c_56]) ).
tcf(c_11044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11036,c_10204,c_56]) ).
tcf(c_11080,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_15)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10900,c_82]) ).
tcf(c_11081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10900,c_82]) ).
tcf(c_11082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11081,c_10205,c_56]) ).
tcf(c_11089,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11080,c_10205,c_56,c_3018]) ).
tcf(c_11096,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9943,c_3208,c_9943,c_10205,c_10204]) ).
tcf(c_11097,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(renaming,[status(thm)],[c_11096]) ).
tcf(c_11111,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_11097,c_6503]) ).
tcf(c_11112,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_11097,c_6458]) ).
tcf(c_11114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),X1) ),
inference(superposition,[status(thm)],[c_11097,c_80]) ).
tcf(c_11115,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11097,c_79]) ).
tcf(c_11164,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_7379,c_3208,c_7217,c_10205,c_10204]) ).
tcf(c_11165,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(renaming,[status(thm)],[c_11164]) ).
tcf(c_11176,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11165,c_4390]) ).
tcf(c_11177,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11165,c_80]) ).
tcf(c_11178,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11165,c_79]) ).
tcf(c_11200,plain,
( ~ aScalar0(iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_9078,c_3208,c_6930,c_10205,c_10204]) ).
tcf(c_11201,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(renaming,[status(thm)],[c_11200]) ).
tcf(c_11210,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11201,c_4390]) ).
tcf(c_11211,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11201,c_80]) ).
tcf(c_11212,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11201,c_79]) ).
tcf(c_11303,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9096,c_3208,c_9096,c_10205,c_10204]) ).
tcf(c_11304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(renaming,[status(thm)],[c_11303]) ).
tcf(c_11321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_6503]) ).
tcf(c_11322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_6458]) ).
tcf(c_11324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_80]) ).
tcf(c_11325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ( X1 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_79]) ).
tcf(c_11327,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_6503]) ).
tcf(c_11328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X3,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_6458]) ).
tcf(c_11329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_4390]) ).
tcf(c_11330,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_80]) ).
tcf(c_11331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_79]) ).
tcf(c_11332,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11304,c_1876]) ).
tcf(c_11335,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11304,c_4391]) ).
tcf(c_11336,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(superposition,[status(thm)],[c_11304,c_4165]) ).
tcf(c_11337,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(superposition,[status(thm)],[c_11304,c_5459]) ).
tcf(c_11338,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(superposition,[status(thm)],[c_11304,c_4159]) ).
tcf(c_11339,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(superposition,[status(thm)],[c_11304,c_4776]) ).
tcf(c_11340,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11304,c_7221]) ).
tcf(c_11341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11304,c_6503]) ).
tcf(c_11342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11304,c_6458]) ).
tcf(c_11344,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11304,c_80]) ).
tcf(c_11345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11304,c_79]) ).
tcf(c_11346,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_17)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_11304]) ).
tcf(c_11348,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))) ),
inference(equality_factoring,[status(thm)],[c_11304]) ).
tcf(c_11368,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11339,c_127,c_56]) ).
tcf(c_11376,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11337,c_115,c_56]) ).
tcf(c_11384,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11338,c_121,c_56]) ).
tcf(c_11392,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11336,c_113,c_56]) ).
tcf(c_11571,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_11332,c_1876,c_3208,c_3276,c_10205,c_10204]) ).
tcf(c_11582,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_9331,c_3208,c_6936,c_10205,c_10204]) ).
tcf(c_11583,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(renaming,[status(thm)],[c_11582]) ).
tcf(c_11597,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11583,c_4390]) ).
tcf(c_11598,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11583,c_80]) ).
tcf(c_11599,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11583,c_79]) ).
tcf(c_11602,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_11583,c_4390]) ).
tcf(c_11644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9348,c_3208,c_9348,c_10205,c_10204]) ).
tcf(c_11645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(renaming,[status(thm)],[c_11644]) ).
tcf(c_11654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11645,c_57]) ).
tcf(c_11676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_6503]) ).
tcf(c_11677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11654,c_6458]) ).
tcf(c_11678,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_4390]) ).
tcf(c_11679,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_11654,c_80]) ).
tcf(c_11680,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_11654,c_79]) ).
tcf(c_11683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_6503]) ).
tcf(c_11684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11654,c_6458]) ).
tcf(c_11685,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_4390]) ).
tcf(c_11686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11654,c_80]) ).
tcf(c_11687,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11654,c_79]) ).
tcf(c_11688,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_11654,c_1876]) ).
tcf(c_11689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_4392]) ).
tcf(c_11690,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_4207]) ).
tcf(c_11691,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_4391]) ).
tcf(c_11692,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_11654,c_4165]) ).
tcf(c_11693,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11654,c_5459]) ).
tcf(c_11694,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11654,c_4159]) ).
tcf(c_11695,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11654,c_4776]) ).
tcf(c_11696,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11654,c_7221]) ).
tcf(c_11697,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_11654,c_6503]) ).
tcf(c_11698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_11654,c_6458]) ).
tcf(c_11700,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(superposition,[status(thm)],[c_11654,c_80]) ).
tcf(c_11701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11654,c_79]) ).
tcf(c_11702,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14) ),
inference(equality_factoring,[status(thm)],[c_11654]) ).
tcf(c_11704,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(equality_factoring,[status(thm)],[c_11654]) ).
tcf(c_11722,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11695,c_127,c_56]) ).
tcf(c_11729,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11693,c_115,c_56]) ).
tcf(c_11736,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11694,c_121,c_56]) ).
tcf(c_11743,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11692,c_113,c_56]) ).
tcf(c_11943,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xB,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_9998,c_6458]) ).
tcf(c_11945,plain,
! [X0: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_9998,c_80]) ).
tcf(c_11946,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ( sz0z00 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_9998,c_79]) ).
tcf(c_11947,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ( sz0z00 = xB )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11946,c_115,c_56]) ).
tcf(c_11952,plain,
! [X0: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11945,c_115,c_56]) ).
tcf(c_11958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xB,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11943,c_115,c_56]) ).
tcf(c_11977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10901,c_82]) ).
tcf(c_11978,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_10901,c_82]) ).
tcf(c_11979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11978,c_10205,c_56]) ).
tcf(c_11986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11977,c_10205,c_56,c_3091]) ).
tcf(c_11994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10902,c_81]) ).
tcf(c_11995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10902,c_81]) ).
tcf(c_11996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11995,c_10205,c_56]) ).
tcf(c_12002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11994,c_10205,c_56]) ).
tcf(c_12012,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10903,c_81]) ).
tcf(c_12013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_10903,c_81]) ).
tcf(c_12014,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12013,c_10205,c_56]) ).
tcf(c_12020,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12012,c_10205,c_56]) ).
tcf(c_12028,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_10273,c_81]) ).
tcf(c_12029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10273,c_81]) ).
tcf(c_12030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12029,c_10204]) ).
tcf(c_12037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12028,c_10204]) ).
tcf(c_12054,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_10274,c_81]) ).
tcf(c_12055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10274,c_81]) ).
tcf(c_12056,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12055,c_10204]) ).
tcf(c_12063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12054,c_10204]) ).
tcf(c_12072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_10897,c_81]) ).
tcf(c_12073,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10897,c_81]) ).
tcf(c_12074,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12073,c_10205]) ).
tcf(c_12081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12072,c_10205]) ).
tcf(c_12157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_10898,c_81]) ).
tcf(c_12158,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10898,c_81]) ).
tcf(c_12159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12158,c_10205]) ).
tcf(c_12166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12157,c_10205]) ).
tcf(c_12173,plain,
aScalar0(iPr_def_17),
inference(global_subsumption_just,[status(thm)],[c_3208,c_3208,c_10205,c_10204]) ).
tcf(c_12175,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9924,c_12173]) ).
tcf(c_12176,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9775,c_12173]) ).
tcf(c_12179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6937,c_12173]) ).
tcf(c_12180,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6932,c_12173]) ).
tcf(c_12181,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6931,c_12173]) ).
tcf(c_12182,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6909,c_12173]) ).
tcf(c_12183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6908,c_12173]) ).
tcf(c_12184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6503,c_12173]) ).
tcf(c_12185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X1,X3))
| sdtlseqdt0(sdtpldt0(X0,X2),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6458,c_12173]) ).
tcf(c_12186,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4496,c_12173]) ).
tcf(c_12187,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4491,c_12173]) ).
tcf(c_12188,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4486,c_12173]) ).
tcf(c_12189,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4471,c_12173]) ).
tcf(c_12190,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4470,c_12173]) ).
tcf(c_12191,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(sdtasdt0(xE,xE),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4469,c_12173]) ).
tcf(c_12192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4463,c_12173]) ).
tcf(c_12193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4392,c_12173]) ).
tcf(c_12194,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4391,c_12173]) ).
tcf(c_12195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4390,c_12173]) ).
tcf(c_12196,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4372,c_12173]) ).
tcf(c_12197,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4207,c_12173]) ).
tcf(c_12317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_17,X1),sdtasdt0(iPr_def_17,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_17,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_74]) ).
tcf(c_12318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_17,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_17,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_73]) ).
tcf(c_12319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_17,X0),sdtasdt0(iPr_def_17,X1)) = sdtasdt0(iPr_def_17,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_72]) ).
tcf(c_12320,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_17,X0),X1) = sdtasdt0(iPr_def_17,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_70]) ).
tcf(c_12321,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_17,X0),X1) = sdtpldt0(iPr_def_17,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_68]) ).
tcf(c_12322,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_17),smndt0(X0)) = sdtasdt0(iPr_def_17,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_77]) ).
tcf(c_12323,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_17),X0) = smndt0(sdtasdt0(iPr_def_17,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_76]) ).
tcf(c_12324,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_17,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_17,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12173,c_75]) ).
tcf(c_12325,plain,
sdtpldt0(smndt0(iPr_def_17),iPr_def_17) = sz0z00,
inference(superposition,[status(thm)],[c_12173,c_65]) ).
tcf(c_12326,plain,
sdtpldt0(iPr_def_17,smndt0(iPr_def_17)) = sz0z00,
inference(superposition,[status(thm)],[c_12173,c_64]) ).
tcf(c_12327,plain,
smndt0(smndt0(iPr_def_17)) = iPr_def_17,
inference(superposition,[status(thm)],[c_12173,c_66]) ).
tcf(c_12328,plain,
sdtasdt0(sz0z00,iPr_def_17) = sz0z00,
inference(superposition,[status(thm)],[c_12173,c_63]) ).
tcf(c_12329,plain,
sdtasdt0(iPr_def_17,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_12173,c_62]) ).
tcf(c_12330,plain,
sdtpldt0(sz0z00,iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_12173,c_61]) ).
tcf(c_12331,plain,
sdtpldt0(iPr_def_17,sz0z00) = iPr_def_17,
inference(superposition,[status(thm)],[c_12173,c_60]) ).
tcf(c_12385,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_12197]) ).
tcf(c_12409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_12184]) ).
tcf(c_12411,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11304,c_12184]) ).
tcf(c_12412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_12184]) ).
tcf(c_12413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_12184]) ).
tcf(c_12414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_12184]) ).
tcf(c_12415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_12184]) ).
tcf(c_12416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_12184]) ).
tcf(c_12417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_12184]) ).
tcf(c_12418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_12184]) ).
tcf(c_12421,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_139,c_12184]) ).
tcf(c_12422,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3091,c_12184]) ).
tcf(c_12423,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3004,c_12184]) ).
tcf(c_12424,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3003,c_12184]) ).
tcf(c_12425,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3000,c_12184]) ).
tcf(c_12426,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3020,c_12184]) ).
tcf(c_12427,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3019,c_12184]) ).
tcf(c_12428,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3018,c_12184]) ).
tcf(c_12429,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3017,c_12184]) ).
tcf(c_12431,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4163,c_12184]) ).
tcf(c_12432,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4155,c_12184]) ).
tcf(c_12433,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4164,c_12184]) ).
tcf(c_12435,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11654,c_12184]) ).
tcf(c_12436,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_9998,c_12184]) ).
tcf(c_12437,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_7770,c_12184]) ).
tcf(c_12440,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10651,c_12184]) ).
tcf(c_12441,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10347,c_12184]) ).
tcf(c_12442,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10715,c_12184]) ).
tcf(c_12443,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10400,c_12184]) ).
tcf(c_12444,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11583,c_12184]) ).
tcf(c_12447,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11304,c_12184]) ).
tcf(c_12448,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10453,c_12184]) ).
tcf(c_12450,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10555,c_12184]) ).
tcf(c_12451,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10790,c_12184]) ).
tcf(c_12453,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12422,c_12331]) ).
tcf(c_12454,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12453,c_56]) ).
tcf(c_12458,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12433,c_12331]) ).
tcf(c_12459,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12458,c_135,c_56]) ).
tcf(c_12463,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12432,c_12331]) ).
tcf(c_12464,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12463,c_133,c_56]) ).
tcf(c_12468,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12431,c_12331]) ).
tcf(c_12469,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12468,c_129,c_56]) ).
tcf(c_12473,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12429,c_12331]) ).
tcf(c_12474,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12473,c_10204,c_56]) ).
tcf(c_12478,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12428,c_12331]) ).
tcf(c_12479,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12478,c_10205,c_56]) ).
tcf(c_12483,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12427,c_12331]) ).
tcf(c_12484,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12483,c_119,c_56]) ).
tcf(c_12488,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12426,c_12331]) ).
tcf(c_12489,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12488,c_117,c_56]) ).
tcf(c_12493,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12425,c_12331]) ).
tcf(c_12494,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12493,c_56]) ).
tcf(c_12499,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12424,c_12331]) ).
tcf(c_12500,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12499,c_125,c_56]) ).
tcf(c_12504,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12423,c_12331]) ).
tcf(c_12505,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12504,c_123,c_56]) ).
tcf(c_12515,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12437,c_127,c_56]) ).
tcf(c_12521,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12436,c_115,c_56]) ).
tcf(c_12527,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_12418,c_12331]) ).
tcf(c_12528,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12527,c_56]) ).
tcf(c_12534,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_12417,c_12331]) ).
tcf(c_12535,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12534,c_56]) ).
tcf(c_12571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_12416,c_12331]) ).
tcf(c_12572,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12571,c_56]) ).
tcf(c_12581,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_12415,c_12331]) ).
tcf(c_12582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12581,c_56]) ).
tcf(c_12916,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7566,c_3208,c_7566,c_10205,c_10204]) ).
tcf(c_12917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(renaming,[status(thm)],[c_12916]) ).
tcf(c_12926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12917,c_57]) ).
tcf(c_12948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12926,c_12184]) ).
tcf(c_12949,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12926,c_80]) ).
tcf(c_12950,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12926,c_79]) ).
tcf(c_12951,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_12926,c_1876]) ).
tcf(c_12952,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12926,c_12197]) ).
tcf(c_12953,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_12926,c_4165]) ).
tcf(c_12954,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12926,c_5459]) ).
tcf(c_12955,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_12926,c_4159]) ).
tcf(c_12956,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12926,c_4776]) ).
tcf(c_12957,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_12926,c_12184]) ).
tcf(c_12958,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_12926,c_80]) ).
tcf(c_12959,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_12926,c_79]) ).
tcf(c_12960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_12926,c_12184]) ).
tcf(c_12961,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(superposition,[status(thm)],[c_12926,c_80]) ).
tcf(c_12962,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12926,c_79]) ).
tcf(c_12965,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_14),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_12926]) ).
tcf(c_12966,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(equality_factoring,[status(thm)],[c_12926]) ).
tcf(c_12967,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12951,c_12173]) ).
tcf(c_12982,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12956,c_127,c_56]) ).
tcf(c_12989,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12954,c_115,c_56]) ).
tcf(c_12996,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12955,c_121,c_56]) ).
tcf(c_13003,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12953,c_113,c_56]) ).
tcf(c_13010,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12966,c_12173]) ).
tcf(c_13041,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12960,c_12173]) ).
tcf(c_13078,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12961,c_12173]) ).
tcf(c_13089,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12962,c_12173]) ).
tcf(c_13191,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_12967,c_12184]) ).
tcf(c_13192,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0) ),
inference(superposition,[status(thm)],[c_12967,c_80]) ).
tcf(c_13193,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12967,c_79]) ).
tcf(c_13194,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13191,c_12173]) ).
tcf(c_13199,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13192,c_12173]) ).
tcf(c_13206,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)) = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13193,c_12173]) ).
tcf(c_13213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7571,c_3208,c_7571,c_10205,c_10204]) ).
tcf(c_13214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(renaming,[status(thm)],[c_13213]) ).
tcf(c_13231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_13214,c_12184]) ).
tcf(c_13232,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_13214,c_80]) ).
tcf(c_13233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_13214,c_79]) ).
tcf(c_13236,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(superposition,[status(thm)],[c_13214,c_4165]) ).
tcf(c_13237,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(superposition,[status(thm)],[c_13214,c_5459]) ).
tcf(c_13238,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(superposition,[status(thm)],[c_13214,c_4159]) ).
tcf(c_13239,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(superposition,[status(thm)],[c_13214,c_4776]) ).
tcf(c_13240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_13214,c_12184]) ).
tcf(c_13241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X2)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X2))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_13214,c_80]) ).
tcf(c_13242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13214,c_79]) ).
tcf(c_13243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_13214,c_12184]) ).
tcf(c_13244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_13214,c_80]) ).
tcf(c_13245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_13214,c_79]) ).
tcf(c_13248,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(equality_factoring,[status(thm)],[c_13214]) ).
tcf(c_13249,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14)),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))) ),
inference(equality_factoring,[status(thm)],[c_13214]) ).
tcf(c_13256,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13248,c_12173]) ).
tcf(c_13263,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13239,c_127,c_56]) ).
tcf(c_13271,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13237,c_115,c_56]) ).
tcf(c_13279,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13238,c_121,c_56]) ).
tcf(c_13287,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13236,c_113,c_56]) ).
tcf(c_13343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13242,c_12173]) ).
tcf(c_13354,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X2)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X2))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13241,c_12173]) ).
tcf(c_13366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13240,c_12173]) ).
tcf(c_13466,plain,
( aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aVector0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3441,c_89]) ).
tcf(c_13467,plain,
aScalar0(sdtlbdtrb0(xt,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_13466,c_109,c_49]) ).
tcf(c_13468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X1),sdtasdt0(sdtlbdtrb0(xt,sz00),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,sz00),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_74]) ).
tcf(c_13469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,sz00),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_73]) ).
tcf(c_13470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0),sdtasdt0(sdtlbdtrb0(xt,sz00),X1)) = sdtasdt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_72]) ).
tcf(c_13471,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0),X1) = sdtasdt0(sdtlbdtrb0(xt,sz00),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_70]) ).
tcf(c_13472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xt,sz00),X0),X1) = sdtpldt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_68]) ).
tcf(c_13473,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_77]) ).
tcf(c_13474,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_76]) ).
tcf(c_13475,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13467,c_75]) ).
tcf(c_13476,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtlbdtrb0(xt,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_13467,c_65]) ).
tcf(c_13477,plain,
sdtpldt0(sdtlbdtrb0(xt,sz00),smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_13467,c_64]) ).
tcf(c_13478,plain,
smndt0(smndt0(sdtlbdtrb0(xt,sz00))) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_13467,c_66]) ).
tcf(c_13479,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_13467,c_63]) ).
tcf(c_13480,plain,
sdtasdt0(sdtlbdtrb0(xt,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_13467,c_62]) ).
tcf(c_13481,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,sz00)) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_13467,c_61]) ).
tcf(c_13482,plain,
sdtpldt0(sdtlbdtrb0(xt,sz00),sz0z00) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_13467,c_60]) ).
tcf(c_13588,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_13482,c_13481,c_13480,c_13479,c_13478,c_13477,c_13476,c_13475,c_13474,c_13473,c_13472,c_13471,c_13470,c_13469,c_13468,c_13467,c_13466,c_13366,c_13354,c_13343,c_13287,c_13279,c_13271,c_13263,c_13256,c_13249,c_13248,c_13245,c_13244,c_13243,c_13242,c_13241,c_13240,c_13239,c_13238,c_13237,c_13236,c_13233,c_13232,c_13231,c_13214,c_13206,c_13199,c_13194,c_13193,c_13192,c_13191,c_13089,c_13078,c_13041,c_13010,c_13003,c_12996,c_12989,c_12982,c_12967,c_12966,c_12965,c_12962,c_12961,c_12960,c_12959,c_12958,c_12957,c_12956,c_12955,c_12954,c_12953,c_12952,c_12951,c_12950,c_12949,c_12948,c_12926,c_12917,c_12582,c_12581,c_12572,c_12571,c_12535,c_12534,c_12528,c_12527,c_12521,c_12515,c_12505,c_12504,c_12500,c_12499,c_12494,c_12493,c_12489,c_12488,c_12484,c_12483,c_12479,c_12478,c_12474,c_12473,c_12469,c_12468,c_12464,c_12463,c_12459,c_12458,c_12454,c_12453,c_12451,c_12450,c_12448,c_12447,c_12444,c_12443,c_12442,c_12441,c_12440,c_12437,c_12436,c_12435,c_12433,c_12432,c_12431,c_12429,c_12428,c_12427,c_12426,c_12425,c_12424,c_12423,c_12421,c_12418,c_12417,c_12416,c_12415,c_12414,c_12413,c_12412,c_12411,c_12409,c_12385,c_12331,c_12330,c_12329,c_12328,c_12327,c_12326,c_12325,c_12324,c_12323,c_12322,c_12321,c_12320,c_12319,c_12318,c_12317,c_12197,c_12196,c_12195,c_12194,c_12193,c_12192,c_12191,c_12190,c_12189,c_12188,c_12187,c_12186,c_12185,c_12184,c_12183,c_12182,c_12181,c_12180,c_12179,c_12176,c_12175,c_12173,c_12166,c_12159,c_12158,c_12157,c_12081,c_12074,c_12073,c_12072,c_12063,c_12056,c_12055,c_12054,c_12037,c_12030,c_12029,c_12028,c_12020,c_12014,c_12013,c_12012,c_12002,c_11996,c_11995,c_11994,c_11986,c_11979,c_11978,c_11977,c_11958,c_11952,c_11947,c_11946,c_11945,c_11943,c_11743,c_11736,c_11729,c_11722,c_11704,c_11702,c_11701,c_11700,c_11698,c_11697,c_11696,c_11695,c_11694,c_11693,c_11692,c_11691,c_11690,c_11689,c_11688,c_11687,c_11686,c_11684,c_11683,c_11685,c_11680,c_11679,c_11678,c_11677,c_11676,c_11654,c_11645,c_11602,c_11599,c_11598,c_11597,c_11583,c_11392,c_11384,c_11376,c_11368,c_11348,c_11346,c_11345,c_11344,c_11342,c_11341,c_11340,c_11339,c_11338,c_11337,c_11336,c_11335,c_11332,c_11331,c_11330,c_11329,c_11328,c_11327,c_11325,c_11324,c_11322,c_11321,c_11304,c_11212,c_11211,c_11210,c_11201,c_11178,c_11177,c_11176,c_11165,c_11115,c_11114,c_11112,c_11111,c_11097,c_11089,c_11082,c_11081,c_11080,c_11044,c_11038,c_11037,c_11036,c_11025,c_11019,c_11018,c_11017,c_11002,c_10995,c_10994,c_10993,c_11571,c_10975,c_10968,c_10967,c_10966,c_10903,c_10902,c_10901,c_10900,c_10899,c_10898,c_10897,c_10896,c_10895,c_10894,c_10893,c_10892,c_10891,c_10890,c_10889,c_10878,c_10872,c_10867,c_10866,c_10865,c_10863,c_10808,c_10807,c_10805,c_10804,c_10790,c_10732,c_10731,c_10729,c_10728,c_10715,c_10668,c_10667,c_10665,c_10664,c_10651,c_10627,c_10626,c_10625,c_12422,c_10613,c_10570,c_10569,c_10567,c_10566,c_10555,c_10471,c_10470,c_10468,c_10467,c_10453,c_10415,c_10414,c_10412,c_10411,c_10400,c_10362,c_10361,c_10359,c_10358,c_10347,c_10279,c_10278,c_10277,c_10276,c_10275,c_10274,c_10273,c_10272,c_10271,c_10270,c_10269,c_10268,c_10267,c_10266,c_10265,c_10205,c_10204,c_10203,c_10202,c_10201,c_10200,c_10199,c_10198,c_10197,c_10196,c_10195,c_10194,c_10193,c_10192,c_10191,c_10190,c_10189,c_10188,c_10187,c_10173,c_10166,c_10165,c_10164,c_10155,c_10148,c_10147,c_10146,c_10137,c_10130,c_10129,c_10128,c_10072,c_10071,c_10067,c_10066,c_10062,c_10061,c_10060,c_10044,c_10024,c_10016,c_10009,c_10002,c_9998,c_9996,c_9995,c_9994,c_9993,c_9997,c_9947,c_9946,c_9944,c_9943,c_9924,c_9798,c_9797,c_9795,c_9794,c_9775,c_9715,c_9717,c_9651,c_9650,c_9648,c_9647,c_9414,c_9406,c_9380,c_9360,c_9359,c_9358,c_9352,c_9351,c_9350,c_9349,c_9348,c_9347,c_9346,c_9344,c_9343,c_9342,c_9341,c_9340,c_9335,c_9334,c_9333,c_9332,c_9331,c_9329,c_9328,c_9327,c_9325,c_9144,c_9136,c_9119,c_9103,c_9100,c_9099,c_9097,c_9096,c_9095,c_9094,c_9093,c_9092,c_9088,c_9087,c_9086,c_9085,c_9084,c_9082,c_9081,c_9079,c_9078,c_8972,c_8971,c_8969,c_8968,c_8967,c_8966,c_8964,c_8963,c_8928,c_8921,c_8920,c_8919,c_8910,c_8903,c_8902,c_8901,c_8892,c_8885,c_8884,c_8883,c_8874,c_8867,c_8866,c_8865,c_8713,c_8712,c_8711,c_8710,c_8709,c_8708,c_8707,c_8706,c_8705,c_8704,c_8703,c_8702,c_8701,c_8700,c_8699,c_8698,c_8697,c_8696,c_8403,c_8397,c_8390,c_8384,c_8378,c_8370,c_8364,c_8358,c_8352,c_8346,c_8340,c_8334,c_8328,c_8322,c_8316,c_8310,c_8304,c_8298,c_8291,c_8284,c_8278,c_8272,c_8265,c_8259,c_8253,c_8246,c_8240,c_8233,c_8227,c_8221,c_8214,c_8207,c_8200,c_8193,c_8186,c_8171,c_8164,c_8157,c_8150,c_8143,c_8136,c_8129,c_8122,c_8115,c_8108,c_8101,c_8094,c_8087,c_8080,c_8073,c_8066,c_8059,c_8052,c_8045,c_8038,c_8031,c_8024,c_8017,c_8010,c_8003,c_7996,c_7981,c_7974,c_7967,c_7959,c_7958,c_7957,c_7956,c_7955,c_7954,c_7953,c_7952,c_7951,c_7950,c_7949,c_7948,c_7947,c_7946,c_7945,c_7944,c_7943,c_7942,c_7941,c_7940,c_7939,c_7938,c_7937,c_7936,c_7935,c_7934,c_7933,c_7932,c_7931,c_7930,c_7929,c_7928,c_7927,c_7926,c_7925,c_7924,c_7923,c_7922,c_7921,c_7920,c_7919,c_7918,c_7917,c_7916,c_7915,c_7914,c_7913,c_7912,c_7911,c_7910,c_7909,c_7908,c_7907,c_7906,c_7905,c_7904,c_7903,c_7902,c_7901,c_7900,c_7899,c_7898,c_7897,c_7896,c_7895,c_7894,c_7893,c_7892,c_7891,c_7890,c_7889,c_7888,c_7887,c_7862,c_7856,c_7850,c_7849,c_7848,c_7847,c_7826,c_7820,c_7815,c_7807,c_7806,c_7805,c_7804,c_7781,c_7774,c_7770,c_7768,c_7767,c_7769,c_7612,c_7605,c_7579,c_7578,c_7575,c_7574,c_7572,c_7571,c_7570,c_7569,c_7567,c_7566,c_7565,c_7564,c_7563,c_7559,c_7558,c_7557,c_7556,c_7555,c_7486,c_7485,c_7483,c_7482,c_7388,c_7387,c_7385,c_7384,c_7383,c_7382,c_7380,c_7379,c_7323,c_7322,c_7320,c_7319,c_7270,c_7269,c_7267,c_7266,c_7221,c_7220,c_7218,c_7217,c_7126,c_7116,c_7083,c_7076,c_7033,c_7028,c_7022,c_7016,c_7010,c_7004,c_6999,c_6994,c_6988,c_6982,c_6971,c_6966,c_6961,c_6945,c_6940,c_6939,c_6938,c_6937,c_6936,c_6935,c_6934,c_6933,c_6932,c_6931,c_6930,c_6929,c_6928,c_6927,c_6926,c_6925,c_6924,c_6923,c_6922,c_6921,c_6920,c_6919,c_6918,c_6917,c_6916,c_6915,c_6914,c_6913,c_6912,c_6911,c_6910,c_6909,c_6908,c_6907,c_6789,c_6776,c_6728,c_6718,c_6657,c_6649,c_6640,c_6631,c_6622,c_6613,c_6605,c_6597,c_6588,c_6579,c_6562,c_6554,c_6546,c_6521,c_6513,c_6512,c_6511,c_6510,c_6509,c_6508,c_6507,c_6506,c_6505,c_6504,c_6503,c_6502,c_6501,c_6500,c_6499,c_6498,c_6497,c_6496,c_6495,c_6494,c_6493,c_6492,c_6491,c_6490,c_6489,c_6488,c_6487,c_6486,c_6485,c_6484,c_6483,c_6482,c_6481,c_6480,c_6458,c_6448,c_6441,c_6440,c_6439,c_6425,c_6418,c_6417,c_6416,c_6407,c_6400,c_6399,c_6398,c_6389,c_6382,c_6381,c_6380,c_6197,c_6190,c_6183,c_6176,c_6169,c_6162,c_6155,c_6148,c_6141,c_6134,c_6127,c_6120,c_6113,c_6106,c_6099,c_6092,c_6085,c_6078,c_6071,c_6064,c_6057,c_6050,c_6043,c_6036,c_6029,c_6022,c_6016,c_6010,c_6004,c_5998,c_5992,c_5986,c_5980,c_5974,c_5968,c_5962,c_5956,c_5950,c_5944,c_5938,c_5932,c_5926,c_5920,c_5914,c_5908,c_5902,c_5896,c_5890,c_5884,c_5878,c_5872,c_5866,c_5860,c_5854,c_5848,c_5842,c_5836,c_5830,c_5824,c_5818,c_5812,c_5806,c_5800,c_5794,c_5788,c_5782,c_5776,c_5770,c_5764,c_5758,c_5752,c_5746,c_5740,c_5734,c_5727,c_5726,c_5725,c_5724,c_5723,c_5722,c_5721,c_5720,c_5719,c_5718,c_5717,c_5716,c_5715,c_5714,c_5713,c_5712,c_5711,c_5710,c_5709,c_5708,c_5707,c_5706,c_5705,c_5704,c_5703,c_5702,c_5701,c_5700,c_5699,c_5698,c_5697,c_5696,c_5695,c_5694,c_5693,c_5692,c_5691,c_5690,c_5689,c_5688,c_5687,c_5686,c_5685,c_5684,c_5683,c_5682,c_5681,c_5680,c_5679,c_5678,c_5677,c_5676,c_5675,c_5674,c_5673,c_5672,c_5671,c_5670,c_5669,c_5668,c_5667,c_5666,c_5665,c_5664,c_5663,c_5662,c_5661,c_5660,c_5659,c_5658,c_5657,c_5656,c_5655,c_5654,c_5653,c_5652,c_5651,c_5650,c_5649,c_5648,c_5631,c_5627,c_5626,c_5624,c_5623,c_5601,c_5600,c_5596,c_5595,c_5594,c_5495,c_5494,c_5493,c_5492,c_5491,c_5490,c_5489,c_5488,c_5487,c_5486,c_5485,c_5484,c_5483,c_5482,c_5481,c_5480,c_5479,c_5478,c_5463,c_5459,c_5457,c_5458,c_5438,c_5432,c_5431,c_5430,c_5414,c_5408,c_5407,c_5406,c_5390,c_5384,c_5382,c_5347,c_5346,c_5316,c_5315,c_5285,c_5284,c_5140,c_5139,c_5138,c_5137,c_5136,c_5135,c_5134,c_5133,c_5132,c_5131,c_5130,c_5129,c_5128,c_5127,c_5126,c_5125,c_5124,c_5123,c_4991,c_4990,c_4989,c_4988,c_4987,c_4986,c_4985,c_4984,c_4983,c_4982,c_4981,c_4980,c_4979,c_4978,c_4977,c_4976,c_4975,c_4974,c_4849,c_4848,c_4847,c_4846,c_4845,c_4844,c_4843,c_4842,c_4841,c_4840,c_4839,c_4838,c_4837,c_4836,c_4835,c_4834,c_4833,c_4832,c_4799,c_4798,c_4797,c_4796,c_4795,c_4780,c_4776,c_4774,c_4775,c_4687,c_4677,c_4676,c_4675,c_4672,c_4671,c_4668,c_4667,c_4594,c_4584,c_4565,c_4558,c_4539,c_4534,c_4528,c_4523,c_4518,c_4512,c_4506,c_4501,c_4496,c_4491,c_4486,c_4484,c_4483,c_4482,c_4479,c_4478,c_4477,c_4476,c_4475,c_4474,c_4473,c_4471,c_4470,c_4469,c_4468,c_4467,c_4466,c_4465,c_4464,c_4463,c_4437,c_5383,c_4393,c_4392,c_4391,c_4390,c_4472,c_4372,c_4355,c_4352,c_4351,c_4350,c_4334,c_4331,c_4330,c_4329,c_4325,c_4322,c_4321,c_4320,c_4282,c_4273,c_4257,c_4251,c_4239,c_4235,c_4231,c_4227,c_4223,c_4218,c_4213,c_4207,c_4206,c_4205,c_4204,c_4203,c_4202,c_4201,c_4200,c_4198,c_4197,c_4196,c_4195,c_4194,c_4193,c_4192,c_4190,c_4169,c_4165,c_4164,c_4163,c_4159,c_4155,c_4147,c_4146,c_4121,c_4118,c_4117,c_4116,c_4115,c_4114,c_4094,c_4093,c_4020,c_4015,c_4010,c_4007,c_4004,c_4001,c_3998,c_3994,c_3990,c_3988,c_3987,c_3986,c_3985,c_3984,c_3983,c_3982,c_3980,c_3979,c_3978,c_3977,c_3976,c_3929,c_3928,c_3927,c_3926,c_3925,c_3924,c_3923,c_3922,c_3921,c_3920,c_3907,c_3903,c_3900,c_3899,c_3898,c_3876,c_3875,c_3853,c_3852,c_3851,c_3850,c_3849,c_3786,c_3761,c_3760,c_3759,c_3758,c_3757,c_3756,c_3755,c_3754,c_3753,c_3752,c_3751,c_3750,c_3749,c_3748,c_3747,c_3746,c_3745,c_3738,c_3737,c_3669,c_3644,c_3643,c_3642,c_3641,c_3640,c_3639,c_3638,c_3637,c_3636,c_3635,c_3634,c_3633,c_3632,c_3631,c_3630,c_3629,c_3628,c_3547,c_3546,c_3545,c_3544,c_3543,c_3542,c_3541,c_3540,c_3539,c_3538,c_3537,c_3536,c_3535,c_3534,c_3533,c_3532,c_3531,c_3506,c_3505,c_3504,c_3503,c_3502,c_3470,c_3446,c_3445,c_3444,c_3443,c_3442,c_3441,c_3425,c_3424,c_3423,c_3422,c_3421,c_3420,c_3355,c_3354,c_3353,c_3352,c_3351,c_3350,c_3349,c_3305,c_3304,c_3303,c_3302,c_3301,c_3300,c_3299,c_3298,c_3297,c_3296,c_3295,c_3294,c_3293,c_3292,c_3291,c_3290,c_4684,c_3261,c_3260,c_3259,c_3258,c_3257,c_3256,c_3255,c_3254,c_3253,c_3252,c_3251,c_3250,c_3249,c_3248,c_3247,c_3246,c_3214,c_3213,c_3212,c_3211,c_3210,c_3208,c_3207,c_3161,c_3160,c_3159,c_3158,c_3157,c_3130,c_3129,c_3128,c_3127,c_3126,c_3125,c_3124,c_3123,c_3122,c_3121,c_3120,c_3119,c_3118,c_3117,c_3109,c_3108,c_3107,c_3106,c_3105,c_3104,c_3103,c_3102,c_3101,c_3100,c_3099,c_3098,c_3097,c_3091,c_3086,c_3085,c_3084,c_3083,c_3082,c_3081,c_3080,c_3079,c_3078,c_3077,c_3076,c_3075,c_3074,c_3073,c_3065,c_3064,c_3063,c_3062,c_3061,c_3060,c_3059,c_3058,c_3057,c_3056,c_3055,c_3054,c_3053,c_3044,c_3043,c_3042,c_3041,c_3040,c_3039,c_3038,c_3037,c_3036,c_3035,c_3034,c_3033,c_3032,c_3031,c_3020,c_3019,c_3018,c_3017,c_3016,c_3015,c_3014,c_3013,c_3004,c_3003,c_3000,c_2999,c_2998,c_2989,c_2988,c_2971,c_2969,c_2990,c_1876,c_1875,c_1874,c_1873,c_1872,c_1871,c_1870,c_1869,c_1868,c_1867,c_1866,c_1025,c_654,c_653,c_189,c_3090,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_115,c_114,c_113,c_112,c_111,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_68,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG080+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n004.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Thu Sep 24 08:08:07 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.63
% 0.09/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.63
% 0.09/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 5.66/2.42 % SZS status Started for theBenchmark.p
% 5.66/2.42 % SZS status Theorem for theBenchmark.p
% 5.66/2.42
% 5.66/2.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.66/2.42
% 5.66/2.42 % ------ iProver source info
% 5.66/2.42
% 5.66/2.42 % git: date: 2026-07-19 20:42:38 +0200
% 5.66/2.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.66/2.42 % git: non_committed_changes: false
% 5.66/2.42
% 5.66/2.42 % ------ Parsing...
% 5.66/2.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.66/2.42
% 5.66/2.42 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 5.66/2.42
% 5.66/2.42 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.66/2.42
% 5.66/2.42 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 5.66/2.42 % ------ Proving...
% 5.66/2.42 % ------ Problem Properties
% 5.66/2.42
% 5.66/2.42 %
% 5.66/2.42 % clauses 99
% 5.66/2.42 % conjectures 1
% 5.66/2.42 % EPR 26
% 5.66/2.42 % Horn 87
% 5.66/2.42 % unary 46
% 5.66/2.42 % binary 19
% 5.66/2.42 % lits 233
% 5.66/2.42 % lits eq 76
% 5.66/2.42 % fd_pure 0
% 5.66/2.42 % fd_pseudo 0
% 5.66/2.42 % fd_cond 1
% 5.66/2.42 % fd_pseudo_cond 5
% 5.66/2.42 % AC symbols 0
% 5.66/2.42
% 5.66/2.42 % ------ Schedule dynamic 5 is on
% 5.66/2.42
% 5.66/2.42 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.66/2.42
% 5.66/2.42
% 5.66/2.42 % ------
% 5.66/2.42 % Current options:
% 5.66/2.42 % ------
% 5.66/2.42
% 5.66/2.42
% 5.66/2.42 %
% 5.66/2.42
% 5.66/2.42 % ------ Proving...
% 5.66/2.42 %
% 5.66/2.42
% 5.66/2.42 % SZS status Theorem for theBenchmark.p
% 5.66/2.42
% 5.66/2.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.66/2.49
% 5.66/2.49
%------------------------------------------------------------------------------